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Finding the Third Proportional to 80,523 and 171,441

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Solution

The third proportional to 80,523 and 171,441 is: 365,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,523 : 171,441 = 171,441 : x
  2. Step 2: Convert to fraction form
    80,523/171,441 = 171,441/x
  3. Step 3: Cross multiply
    80,523x = 171,441 × 171,441
  4. Step 4: Simplify right side
    80,523x = 29,392,016,481
  5. Step 5: Solve for x
    x = 29,392,016,481/80,523
  6. Step 6: Final answer
    x = 365,013.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.