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Finding the Third Proportional to 67,529 and 156,337

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Solution

The third proportional to 67,529 and 156,337 is: 361,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,529 : 156,337 = 156,337 : x
  2. Step 2: Convert to fraction form
    67,529/156,337 = 156,337/x
  3. Step 3: Cross multiply
    67,529x = 156,337 × 156,337
  4. Step 4: Simplify right side
    67,529x = 24,441,257,569
  5. Step 5: Solve for x
    x = 24,441,257,569/67,529
  6. Step 6: Final answer
    x = 361,937.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.