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Finding the Third Proportional to 47,586 and 102,486

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Solution

The third proportional to 47,586 and 102,486 is: 220,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,586 : 102,486 = 102,486 : x
  2. Step 2: Convert to fraction form
    47,586/102,486 = 102,486/x
  3. Step 3: Cross multiply
    47,586x = 102,486 × 102,486
  4. Step 4: Simplify right side
    47,586x = 10,503,380,196
  5. Step 5: Solve for x
    x = 10,503,380,196/47,586
  6. Step 6: Final answer
    x = 220,724.17

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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.