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Finding the Third Proportional to 47,486 and 101,327

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Solution

The third proportional to 47,486 and 101,327 is: 216,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,486 : 101,327 = 101,327 : x
  2. Step 2: Convert to fraction form
    47,486/101,327 = 101,327/x
  3. Step 3: Cross multiply
    47,486x = 101,327 × 101,327
  4. Step 4: Simplify right side
    47,486x = 10,267,160,929
  5. Step 5: Solve for x
    x = 10,267,160,929/47,486
  6. Step 6: Final answer
    x = 216,214.48

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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.