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Finding the Third Proportional to 47,531 and 101,177

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Solution

The third proportional to 47,531 and 101,177 is: 215,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,531 : 101,177 = 101,177 : x
  2. Step 2: Convert to fraction form
    47,531/101,177 = 101,177/x
  3. Step 3: Cross multiply
    47,531x = 101,177 × 101,177
  4. Step 4: Simplify right side
    47,531x = 10,236,785,329
  5. Step 5: Solve for x
    x = 10,236,785,329/47,531
  6. Step 6: Final answer
    x = 215,370.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.