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Finding the Third Proportional to 71,755 and 156,427

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Solution

The third proportional to 71,755 and 156,427 is: 341,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,755 : 156,427 = 156,427 : x
  2. Step 2: Convert to fraction form
    71,755/156,427 = 156,427/x
  3. Step 3: Cross multiply
    71,755x = 156,427 × 156,427
  4. Step 4: Simplify right side
    71,755x = 24,469,406,329
  5. Step 5: Solve for x
    x = 24,469,406,329/71,755
  6. Step 6: Final answer
    x = 341,013.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.