Translators have a maximum power of 250 watts. You'd think they would be required to have their transmitters in their cities of license so local people there can hear them. But that doesn't seem to be the case for several translators I know of.
1) WMCA New York, a Salem religious station, has a translator on 102.3 FM. It's also licensed to New York. But it is on one of the towers for 930 WPAT in Clifton NJ. That's about 25 miles west of Manhattan.
2) 1570 WLRS New Albany IN has made news as the first station to switch to all Christmas music. In January, it will debut a new format. New Albany is across the Ohio River from Louisville KY. Its translator is licensed to Louisville. But it's really about 15 miles northeast of Louisville in Charlestown IN.
There's a rule that a radio station's signal must provide good coverage in its city of license. If you are somewhat near a large city, you can't just move your tower near that city and forsake listeners you are supposed to be serving. No matter how lucrative the move might be you can't do it if your hometown isn't also getting a good signal. But I guess that rule doesn't apply to translators?