Combine 2 programs (Sensor + display on I2C LCD)

int rangeInCm()
{
   Wire.beginTransmission(112);
   Wire.write(0);
   Wire.write(0x51);      // command sensor to measure in "inches" (0x50) 
                                // use 0x51 for centimeters
                                // use 0x52 for ping microseconds
   Wire.endTransmission();

   delay(70);

   Wire.beginTransmission(112);
   Wire.write(byte(0x02));
   Wire.endTransmission();

   Wire.requestFrom(112, 2);

   if(Wire.available() >= 2)
   {
     int reading = Wire.read();
     reading = reading << 8;
     reading |= Wire.read();
     return reading;   
   }
   else
     return -1;  // something went wrong
}

((uncompiled, untested)
Of course, that delay will prevent you doing other things, but you may not have other stuff to do.