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Finding the Third Proportional to 60,505.31 and 132,954.19

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Solution

The third proportional to 60,505.31 and 132,954.19 is: 292,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,505.31 : 132,954.19 = 132,954.19 : x
  2. Step 2: Convert to fraction form
    60,505.31/132,954.19 = 132,954.19/x
  3. Step 3: Cross multiply
    60,505.31x = 132,954.19 × 132,954.19
  4. Step 4: Simplify right side
    60,505.31x = 17,676,815,973.79
  5. Step 5: Solve for x
    x = 17,676,815,973.79/60,505.31
  6. Step 6: Final answer
    x = 292,153.12

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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.