x prop y" and "y prop z," then prove that ":(x^(2)+y^(2)+z^(2))prop(xy+yz

If x prop y and y prop z , then prove that (x^7+y^7 +z^7) prop (x^5y^2 +x^3z^4 +y^5z^2)

If (x+y) prop (x-y), then prove that (x^(2)+y^(2)) prop xy .

if x prop z and y prop z , then xy prop z .

If x prop y and y prop z, then show that (x^m+y^m+z^m) prop (x^3y^(m-3) +y^3z^(m-3)=z^3x^(m-3)) (m = constant)

If x prop 1/y and y prop 1/z , then x prop ……………

If x prop y, then ___

If (3x-4y) prop sqrt(xy) then show that (x^2+y^2) prop xy .

if x prop (z)/(y^2) and z^2 prop (y) /(x) then prove that x prop (1)/(y) prop(10/(z)) .

If x prop yz and y prop zx, then prove that z is a non- zero variation constant.