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Finding the Third Proportional to 71,775 and 156,663

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Solution

The third proportional to 71,775 and 156,663 is: 341,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,775 : 156,663 = 156,663 : x
  2. Step 2: Convert to fraction form
    71,775/156,663 = 156,663/x
  3. Step 3: Cross multiply
    71,775x = 156,663 × 156,663
  4. Step 4: Simplify right side
    71,775x = 24,543,295,569
  5. Step 5: Solve for x
    x = 24,543,295,569/71,775
  6. Step 6: Final answer
    x = 341,947.69

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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.