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Finding the Third Proportional to 27,981 and 60,103

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Solution

The third proportional to 27,981 and 60,103 is: 129,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,981 : 60,103 = 60,103 : x
  2. Step 2: Convert to fraction form
    27,981/60,103 = 60,103/x
  3. Step 3: Cross multiply
    27,981x = 60,103 × 60,103
  4. Step 4: Simplify right side
    27,981x = 3,612,370,609
  5. Step 5: Solve for x
    x = 3,612,370,609/27,981
  6. Step 6: Final answer
    x = 129,100.84

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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.