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Finding the Third Proportional to 59,960 and 86,626

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Solution

The third proportional to 59,960 and 86,626 is: 125,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,960 : 86,626 = 86,626 : x
  2. Step 2: Convert to fraction form
    59,960/86,626 = 86,626/x
  3. Step 3: Cross multiply
    59,960x = 86,626 × 86,626
  4. Step 4: Simplify right side
    59,960x = 7,504,063,876
  5. Step 5: Solve for x
    x = 7,504,063,876/59,960
  6. Step 6: Final answer
    x = 125,151.17

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.