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Finding the Third Proportional to 47,531 and 100,867

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Solution

The third proportional to 47,531 and 100,867 is: 214,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,531 : 100,867 = 100,867 : x
  2. Step 2: Convert to fraction form
    47,531/100,867 = 100,867/x
  3. Step 3: Cross multiply
    47,531x = 100,867 × 100,867
  4. Step 4: Simplify right side
    47,531x = 10,174,151,689
  5. Step 5: Solve for x
    x = 10,174,151,689/47,531
  6. Step 6: Final answer
    x = 214,052.97

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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.