Just flush the core and be done with it. You are most likely reading heat conducted back from the engine thru the coolant to the output side of the heater core. 114 degrees is nothing really, especially since you are getting no heat removal thru the heater, were did the 40 degree difference go?
They say there are no such thing as a stupid question. They say there is always the exception that proves the rule. Don't be the exception.
