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Finding the Third Proportional to 59,586 and 126,084

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Solution

The third proportional to 59,586 and 126,084 is: 266,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,586 : 126,084 = 126,084 : x
  2. Step 2: Convert to fraction form
    59,586/126,084 = 126,084/x
  3. Step 3: Cross multiply
    59,586x = 126,084 × 126,084
  4. Step 4: Simplify right side
    59,586x = 15,897,175,056
  5. Step 5: Solve for x
    x = 15,897,175,056/59,586
  6. Step 6: Final answer
    x = 266,793.79

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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.