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Finding the Third Proportional to 53,712 and 118,160

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Solution

The third proportional to 53,712 and 118,160 is: 259,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,712 : 118,160 = 118,160 : x
  2. Step 2: Convert to fraction form
    53,712/118,160 = 118,160/x
  3. Step 3: Cross multiply
    53,712x = 118,160 × 118,160
  4. Step 4: Simplify right side
    53,712x = 13,961,785,600
  5. Step 5: Solve for x
    x = 13,961,785,600/53,712
  6. Step 6: Final answer
    x = 259,937.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.