Just remember....you can't cheat
Mother Nature....
If the distance from your AC to your power cord is 25' and the length of the trailer power cord is 30' and the distance to the outlet from the power cord is 125', you have a total run of 180' that would make the round trip 360'
.
With 10AWG copper wire, that would give you a voltage loss of 10V and that's if all of your connections are perfect (which they aren't, I can assure you). You may expect an additional 2V loss through all of the various connections in this configuration.
That may bring you down to 108V (from 120V). This may still be within tolerances for your AC. It depends on your "Start-up" amps.