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Finding the Third Proportional to 60,728 and 86,016

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Solution

The third proportional to 60,728 and 86,016 is: 121,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,728 : 86,016 = 86,016 : x
  2. Step 2: Convert to fraction form
    60,728/86,016 = 86,016/x
  3. Step 3: Cross multiply
    60,728x = 86,016 × 86,016
  4. Step 4: Simplify right side
    60,728x = 7,398,752,256
  5. Step 5: Solve for x
    x = 7,398,752,256/60,728
  6. Step 6: Final answer
    x = 121,834.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.