Propylene based resin composition and use thereof

A propylene-based polymer composition (X3) comprising

• 10 to 98 wt % of a propylene-based polymer (A3) that contains 90 mol % or more of propylene-derived structural units, is insoluble in n-decane at 23° C. and has an intrinsic viscosity [η] in the range of 0.01 to 10 dl/g as measured in decalin at 135° C., and
• 2 to 90 wt % of a soft propylene/α-olefin random copolymer (B3) satisfying all of requirements (b1) to (b5) below:
• (b1) intrinsic viscosity [η] thereof measured in decalin at 135° C. is in the range of 0.01 to 10 dl/g;
• (b2) melting point thereof measured by differential scanning calorimetry (DSC) is lower than 100° C. or not observed;
• (b3) the content of propylene-derived structural units is 60 to 75 mol %, the content of ethylene-derived structural units is 10 to 14.5 mol %, and the content of C4-C20 α-olefin-derived structural units is 10.5 to 30 mol %, wherein the total of the propylene-derived structural units, ethylene-derived structural units, and C4 to C20 α-olefin-derived structural units is 100 mol %;
• (b4) triad tacticity (mm-fraction) thereof measured with 13C-NMR is in the range of 85% to 97.5%;
• and
• (b5) molecular weight distribution (Mw/Mn) thereof measured by gel permeation chromatography (GPC) is in the range of 1.0 to 3.0,
• wherein the total of (A3) and (B3) is 100 wt %.