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Finding the Third Proportional to 80,181 and 171,567

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Solution

The third proportional to 80,181 and 171,567 is: 367,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,181 : 171,567 = 171,567 : x
  2. Step 2: Convert to fraction form
    80,181/171,567 = 171,567/x
  3. Step 3: Cross multiply
    80,181x = 171,567 × 171,567
  4. Step 4: Simplify right side
    80,181x = 29,435,235,489
  5. Step 5: Solve for x
    x = 29,435,235,489/80,181
  6. Step 6: Final answer
    x = 367,109.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.