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Finding the Third Proportional to 47,272 and 98,311

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Solution

The third proportional to 47,272 and 98,311 is: 204,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,272 : 98,311 = 98,311 : x
  2. Step 2: Convert to fraction form
    47,272/98,311 = 98,311/x
  3. Step 3: Cross multiply
    47,272x = 98,311 × 98,311
  4. Step 4: Simplify right side
    47,272x = 9,665,052,721
  5. Step 5: Solve for x
    x = 9,665,052,721/47,272
  6. Step 6: Final answer
    x = 204,456.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.