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Finding the Third Proportional to 71,193 and 156,597

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Solution

The third proportional to 71,193 and 156,597 is: 344,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,193 : 156,597 = 156,597 : x
  2. Step 2: Convert to fraction form
    71,193/156,597 = 156,597/x
  3. Step 3: Cross multiply
    71,193x = 156,597 × 156,597
  4. Step 4: Simplify right side
    71,193x = 24,522,620,409
  5. Step 5: Solve for x
    x = 24,522,620,409/71,193
  6. Step 6: Final answer
    x = 344,452.69

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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.