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Finding the Third Proportional to 71,366 and 156,856

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Solution

The third proportional to 71,366 and 156,856 is: 344,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,366 : 156,856 = 156,856 : x
  2. Step 2: Convert to fraction form
    71,366/156,856 = 156,856/x
  3. Step 3: Cross multiply
    71,366x = 156,856 × 156,856
  4. Step 4: Simplify right side
    71,366x = 24,603,804,736
  5. Step 5: Solve for x
    x = 24,603,804,736/71,366
  6. Step 6: Final answer
    x = 344,755.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.