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Finding the Third Proportional to 71,856 and 156,591

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Solution

The third proportional to 71,856 and 156,591 is: 341,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856 : 156,591 = 156,591 : x
  2. Step 2: Convert to fraction form
    71,856/156,591 = 156,591/x
  3. Step 3: Cross multiply
    71,856x = 156,591 × 156,591
  4. Step 4: Simplify right side
    71,856x = 24,520,741,281
  5. Step 5: Solve for x
    x = 24,520,741,281/71,856
  6. Step 6: Final answer
    x = 341,248.35

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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.