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Finding the Third Proportional to 60,294.38 and 132,617.25

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Solution

The third proportional to 60,294.38 and 132,617.25 is: 291,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,294.38 : 132,617.25 = 132,617.25 : x
  2. Step 2: Convert to fraction form
    60,294.38/132,617.25 = 132,617.25/x
  3. Step 3: Cross multiply
    60,294.38x = 132,617.25 × 132,617.25
  4. Step 4: Simplify right side
    60,294.38x = 17,587,334,997.56
  5. Step 5: Solve for x
    x = 17,587,334,997.56/60,294.38
  6. Step 6: Final answer
    x = 291,691.14

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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.