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Finding the Third Proportional to 71,115.75 and 156,550.50

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Solution

The third proportional to 71,115.75 and 156,550.50 is: 344,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,115.75 : 156,550.50 = 156,550.50 : x
  2. Step 2: Convert to fraction form
    71,115.75/156,550.50 = 156,550.50/x
  3. Step 3: Cross multiply
    71,115.75x = 156,550.50 × 156,550.50
  4. Step 4: Simplify right side
    71,115.75x = 24,508,059,050.25
  5. Step 5: Solve for x
    x = 24,508,059,050.25/71,115.75
  6. Step 6: Final answer
    x = 344,622.10

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Why These Related Problems?

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