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Finding the Third Proportional to 59,397 and 126,081

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Solution

The third proportional to 59,397 and 126,081 is: 267,629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,397 : 126,081 = 126,081 : x
  2. Step 2: Convert to fraction form
    59,397/126,081 = 126,081/x
  3. Step 3: Cross multiply
    59,397x = 126,081 × 126,081
  4. Step 4: Simplify right side
    59,397x = 15,896,418,561
  5. Step 5: Solve for x
    x = 15,896,418,561/59,397
  6. Step 6: Final answer
    x = 267,629.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.