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Finding the Third Proportional to 43,934 and 68,086

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Solution

The third proportional to 43,934 and 68,086 is: 105,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,934 : 68,086 = 68,086 : x
  2. Step 2: Convert to fraction form
    43,934/68,086 = 68,086/x
  3. Step 3: Cross multiply
    43,934x = 68,086 × 68,086
  4. Step 4: Simplify right side
    43,934x = 4,635,703,396
  5. Step 5: Solve for x
    x = 4,635,703,396/43,934
  6. Step 6: Final answer
    x = 105,515.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.