What's the fastest my AE will go with wireless?

I have the option to upgrade my internet service to a fiber optic cable and get 120Mbps coming in. Can my Airport Extreme (n) handle all this speed wirelessly?
Will I need to run an ethernet to my Mac to get the speed I'm paying for?
What about my Apple TV?
Any help will be appreciated.
I do not have the latest AE with simultaneous dual band (g & n) but the model right before it. 802.11n (gigabite internet).

Is this the reading that Airport Utility is giving when it says 'Rate'?
The 'Rate" value in the AirPort Utility is a near-instaneous measure of the data rate or throughput. Its value should never exceed the maximum bandwidth appropriate for the radio mode.
When I tack my Wireless Clients I get a graph of all the clients with their respective signal db and noise db, and the next coloumn is 'Rate'.
Slight correction ... the 'Signal" and 'Noise' values are in dBm, not dB. dBm is a measure of absolute power output. An increase in 10 dBm = 10x increase in output power.
On the other hand, dB is a relative power measurement, typically associated measuring Radio Frequency (RF) losses. The Near field (1 Meter) distance results in a 40 dB loss. Beyond Near Field, every 2x increase in distance = ~10 dB loss.
Putting this all into perspective, received strength depends on output power of the transmitter and the distance from the receiver.
As an example:
The AEBSn transmits at a maximum output power of 20 dBm. If a wireless client is 32 meters from the AEBSn, its received signal is: +20 dBm - 90 dB = -70 dBm
I'm getting 120. Does that mean 120 Mbps (mega bits per second)?
Yes.

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