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Finding the Third Proportional to 104,257.13 and 172,560.38

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Solution

The third proportional to 104,257.13 and 172,560.38 is: 285,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,257.13 : 172,560.38 = 172,560.38 : x
  2. Step 2: Convert to fraction form
    104,257.13/172,560.38 = 172,560.38/x
  3. Step 3: Cross multiply
    104,257.13x = 172,560.38 × 172,560.38
  4. Step 4: Simplify right side
    104,257.13x = 29,777,083,020.14
  5. Step 5: Solve for x
    x = 29,777,083,020.14/104,257.13
  6. Step 6: Final answer
    x = 285,611.97

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.