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Finding the Third Proportional to 80,020.13 and 172,446.75

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Solution

The third proportional to 80,020.13 and 172,446.75 is: 371,630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,020.13 : 172,446.75 = 172,446.75 : x
  2. Step 2: Convert to fraction form
    80,020.13/172,446.75 = 172,446.75/x
  3. Step 3: Cross multiply
    80,020.13x = 172,446.75 × 172,446.75
  4. Step 4: Simplify right side
    80,020.13x = 29,737,881,585.56
  5. Step 5: Solve for x
    x = 29,737,881,585.56/80,020.13
  6. Step 6: Final answer
    x = 371,630.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.