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Finding the Third Proportional to 47,666 and 101,874

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Solution

The third proportional to 47,666 and 101,874 is: 217,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,666 : 101,874 = 101,874 : x
  2. Step 2: Convert to fraction form
    47,666/101,874 = 101,874/x
  3. Step 3: Cross multiply
    47,666x = 101,874 × 101,874
  4. Step 4: Simplify right side
    47,666x = 10,378,311,876
  5. Step 5: Solve for x
    x = 10,378,311,876/47,666
  6. Step 6: Final answer
    x = 217,729.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.