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Finding the Third Proportional to 43,789 and 67,942

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Solution

The third proportional to 43,789 and 67,942 is: 105,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,789 : 67,942 = 67,942 : x
  2. Step 2: Convert to fraction form
    43,789/67,942 = 67,942/x
  3. Step 3: Cross multiply
    43,789x = 67,942 × 67,942
  4. Step 4: Simplify right side
    43,789x = 4,616,115,364
  5. Step 5: Solve for x
    x = 4,616,115,364/43,789
  6. Step 6: Final answer
    x = 105,417.24

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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.