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Finding the Third Proportional to 71,452 and 156,727

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Solution

The third proportional to 71,452 and 156,727 is: 343,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,452 : 156,727 = 156,727 : x
  2. Step 2: Convert to fraction form
    71,452/156,727 = 156,727/x
  3. Step 3: Cross multiply
    71,452x = 156,727 × 156,727
  4. Step 4: Simplify right side
    71,452x = 24,563,352,529
  5. Step 5: Solve for x
    x = 24,563,352,529/71,452
  6. Step 6: Final answer
    x = 343,774.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.