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Finding the Third Proportional to 47,289 and 101,757

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Solution

The third proportional to 47,289 and 101,757 is: 218,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,289 : 101,757 = 101,757 : x
  2. Step 2: Convert to fraction form
    47,289/101,757 = 101,757/x
  3. Step 3: Cross multiply
    47,289x = 101,757 × 101,757
  4. Step 4: Simplify right side
    47,289x = 10,354,487,049
  5. Step 5: Solve for x
    x = 10,354,487,049/47,289
  6. Step 6: Final answer
    x = 218,961.85

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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.