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Finding the Third Proportional to 47,761 and 102,568

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Solution

The third proportional to 47,761 and 102,568 is: 220,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,761 : 102,568 = 102,568 : x
  2. Step 2: Convert to fraction form
    47,761/102,568 = 102,568/x
  3. Step 3: Cross multiply
    47,761x = 102,568 × 102,568
  4. Step 4: Simplify right side
    47,761x = 10,520,194,624
  5. Step 5: Solve for x
    x = 10,520,194,624/47,761
  6. Step 6: Final answer
    x = 220,267.47

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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.