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Finding the Third Proportional to 116,920.13 and 171,001.69

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Solution

The third proportional to 116,920.13 and 171,001.69 is: 250,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,920.13 : 171,001.69 = 171,001.69 : x
  2. Step 2: Convert to fraction form
    116,920.13/171,001.69 = 171,001.69/x
  3. Step 3: Cross multiply
    116,920.13x = 171,001.69 × 171,001.69
  4. Step 4: Simplify right side
    116,920.13x = 29,241,577,127.85
  5. Step 5: Solve for x
    x = 29,241,577,127.85/116,920.13
  6. Step 6: Final answer
    x = 250,098.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.