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Finding the Third Proportional to 71,229.38 and 152,938.13

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Solution

The third proportional to 71,229.38 and 152,938.13 is: 328,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,229.38 : 152,938.13 = 152,938.13 : x
  2. Step 2: Convert to fraction form
    71,229.38/152,938.13 = 152,938.13/x
  3. Step 3: Cross multiply
    71,229.38x = 152,938.13 × 152,938.13
  4. Step 4: Simplify right side
    71,229.38x = 23,390,070,078.52
  5. Step 5: Solve for x
    x = 23,390,070,078.52/71,229.38
  6. Step 6: Final answer
    x = 328,376.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.