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Finding the Third Proportional to 27,512 and 60,081

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Solution

The third proportional to 27,512 and 60,081 is: 131,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512 : 60,081 = 60,081 : x
  2. Step 2: Convert to fraction form
    27,512/60,081 = 60,081/x
  3. Step 3: Cross multiply
    27,512x = 60,081 × 60,081
  4. Step 4: Simplify right side
    27,512x = 3,609,726,561
  5. Step 5: Solve for x
    x = 3,609,726,561/27,512
  6. Step 6: Final answer
    x = 131,205.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.