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Finding the Third Proportional to 60,397 and 132,742

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Solution

The third proportional to 60,397 and 132,742 is: 291,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,397 : 132,742 = 132,742 : x
  2. Step 2: Convert to fraction form
    60,397/132,742 = 132,742/x
  3. Step 3: Cross multiply
    60,397x = 132,742 × 132,742
  4. Step 4: Simplify right side
    60,397x = 17,620,438,564
  5. Step 5: Solve for x
    x = 17,620,438,564/60,397
  6. Step 6: Final answer
    x = 291,743.61

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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.