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Finding the Third Proportional to 43,864 and 67,940

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Solution

The third proportional to 43,864 and 67,940 is: 105,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,864 : 67,940 = 67,940 : x
  2. Step 2: Convert to fraction form
    43,864/67,940 = 67,940/x
  3. Step 3: Cross multiply
    43,864x = 67,940 × 67,940
  4. Step 4: Simplify right side
    43,864x = 4,615,843,600
  5. Step 5: Solve for x
    x = 4,615,843,600/43,864
  6. Step 6: Final answer
    x = 105,230.80

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