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Finding the Third Proportional to 43,864 and 95,107

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Solution

The third proportional to 43,864 and 95,107 is: 206,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,864 : 95,107 = 95,107 : x
  2. Step 2: Convert to fraction form
    43,864/95,107 = 95,107/x
  3. Step 3: Cross multiply
    43,864x = 95,107 × 95,107
  4. Step 4: Simplify right side
    43,864x = 9,045,341,449
  5. Step 5: Solve for x
    x = 9,045,341,449/43,864
  6. Step 6: Final answer
    x = 206,213.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.