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Finding the Third Proportional to 80,041 and 172,496

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Solution

The third proportional to 80,041 and 172,496 is: 371,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,041 : 172,496 = 172,496 : x
  2. Step 2: Convert to fraction form
    80,041/172,496 = 172,496/x
  3. Step 3: Cross multiply
    80,041x = 172,496 × 172,496
  4. Step 4: Simplify right side
    80,041x = 29,754,870,016
  5. Step 5: Solve for x
    x = 29,754,870,016/80,041
  6. Step 6: Final answer
    x = 371,745.36

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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.