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Finding the Third Proportional to 47,876 and 101,512

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Solution

The third proportional to 47,876 and 101,512 is: 215,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876 : 101,512 = 101,512 : x
  2. Step 2: Convert to fraction form
    47,876/101,512 = 101,512/x
  3. Step 3: Cross multiply
    47,876x = 101,512 × 101,512
  4. Step 4: Simplify right side
    47,876x = 10,304,686,144
  5. Step 5: Solve for x
    x = 10,304,686,144/47,876
  6. Step 6: Final answer
    x = 215,236.99

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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.