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Finding the Third Proportional to 59,427 and 126,486

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Solution

The third proportional to 59,427 and 126,486 is: 269,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,427 : 126,486 = 126,486 : x
  2. Step 2: Convert to fraction form
    59,427/126,486 = 126,486/x
  3. Step 3: Cross multiply
    59,427x = 126,486 × 126,486
  4. Step 4: Simplify right side
    59,427x = 15,998,708,196
  5. Step 5: Solve for x
    x = 15,998,708,196/59,427
  6. Step 6: Final answer
    x = 269,216.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.