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Finding the Third Proportional to 71,124 and 156,565.50

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Solution

The third proportional to 71,124 and 156,565.50 is: 344,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,124 : 156,565.50 = 156,565.50 : x
  2. Step 2: Convert to fraction form
    71,124/156,565.50 = 156,565.50/x
  3. Step 3: Cross multiply
    71,124x = 156,565.50 × 156,565.50
  4. Step 4: Simplify right side
    71,124x = 24,512,755,790.25
  5. Step 5: Solve for x
    x = 24,512,755,790.25/71,124
  6. Step 6: Final answer
    x = 344,648.16

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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.