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Finding the Third Proportional to 27,982 and 60,121

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Solution

The third proportional to 27,982 and 60,121 is: 129,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982 : 60,121 = 60,121 : x
  2. Step 2: Convert to fraction form
    27,982/60,121 = 60,121/x
  3. Step 3: Cross multiply
    27,982x = 60,121 × 60,121
  4. Step 4: Simplify right side
    27,982x = 3,614,534,641
  5. Step 5: Solve for x
    x = 3,614,534,641/27,982
  6. Step 6: Final answer
    x = 129,173.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.