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Finding the Third Proportional to 47,000 and 101,744

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Solution

The third proportional to 47,000 and 101,744 is: 220,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000 : 101,744 = 101,744 : x
  2. Step 2: Convert to fraction form
    47,000/101,744 = 101,744/x
  3. Step 3: Cross multiply
    47,000x = 101,744 × 101,744
  4. Step 4: Simplify right side
    47,000x = 10,351,841,536
  5. Step 5: Solve for x
    x = 10,351,841,536/47,000
  6. Step 6: Final answer
    x = 220,251.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.