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Finding the Third Proportional to 39,960 and 86,496

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Solution

The third proportional to 39,960 and 86,496 is: 187,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,960 : 86,496 = 86,496 : x
  2. Step 2: Convert to fraction form
    39,960/86,496 = 86,496/x
  3. Step 3: Cross multiply
    39,960x = 86,496 × 86,496
  4. Step 4: Simplify right side
    39,960x = 7,481,558,016
  5. Step 5: Solve for x
    x = 7,481,558,016/39,960
  6. Step 6: Final answer
    x = 187,226.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.