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Finding the Third Proportional to 71,195 and 156,601

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Solution

The third proportional to 71,195 and 156,601 is: 344,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,195 : 156,601 = 156,601 : x
  2. Step 2: Convert to fraction form
    71,195/156,601 = 156,601/x
  3. Step 3: Cross multiply
    71,195x = 156,601 × 156,601
  4. Step 4: Simplify right side
    71,195x = 24,523,873,201
  5. Step 5: Solve for x
    x = 24,523,873,201/71,195
  6. Step 6: Final answer
    x = 344,460.61

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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.