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Finding the Third Proportional to 80,061.75 and 172,494.75

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Solution

The third proportional to 80,061.75 and 172,494.75 is: 371,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,061.75 : 172,494.75 = 172,494.75 : x
  2. Step 2: Convert to fraction form
    80,061.75/172,494.75 = 172,494.75/x
  3. Step 3: Cross multiply
    80,061.75x = 172,494.75 × 172,494.75
  4. Step 4: Simplify right side
    80,061.75x = 29,754,438,777.56
  5. Step 5: Solve for x
    x = 29,754,438,777.56/80,061.75
  6. Step 6: Final answer
    x = 371,643.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.