reciprocally reciprocally /rɪˈsɪprəkəli/

adverb

1. In an inverse or contrary manner  ( reciprocally , inversely )
   in an inverse or contrary manner
    Inversely related
   inversely related
    Wavelength and frequency are, of course, related reciprocally
   wavelength and frequency are, of course, related reciprocally
   
2. In a mutual or shared manner  ( mutually , reciprocally )
   in a mutual or shared manner
    The agreement was mutually satisfactory
   the agreement was mutually satisfactory
    The goals of the negotiators were not reciprocally exclusive
   the goals of the negotiators were not reciprocally exclusive
   
3. (often followed by 'for') in exchange or in reciprocation  ( in return , reciprocally )
   (often followed by 'for') in exchange or in reciprocation
    Gave up our seats on the plane and in return received several hundred dollars and seats on the next plane out
   gave up our seats on the plane and in return received several hundred dollars and seats on the next plane out
    We get many benefits in return for our taxes
   we get many benefits in return for our taxes