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Finding the Third Proportional to 116,565.75 and 172,387.13

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Solution

The third proportional to 116,565.75 and 172,387.13 is: 254,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,565.75 : 172,387.13 = 172,387.13 : x
  2. Step 2: Convert to fraction form
    116,565.75/172,387.13 = 172,387.13/x
  3. Step 3: Cross multiply
    116,565.75x = 172,387.13 × 172,387.13
  4. Step 4: Simplify right side
    116,565.75x = 29,717,320,865.77
  5. Step 5: Solve for x
    x = 29,717,320,865.77/116,565.75
  6. Step 6: Final answer
    x = 254,940.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.