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Finding the Third Proportional to 87,792 and 132,452

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Solution

The third proportional to 87,792 and 132,452 is: 199,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,792 : 132,452 = 132,452 : x
  2. Step 2: Convert to fraction form
    87,792/132,452 = 132,452/x
  3. Step 3: Cross multiply
    87,792x = 132,452 × 132,452
  4. Step 4: Simplify right side
    87,792x = 17,543,532,304
  5. Step 5: Solve for x
    x = 17,543,532,304/87,792
  6. Step 6: Final answer
    x = 199,830.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.