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Finding the Third Proportional to 95,272 and 213,098

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Solution

The third proportional to 95,272 and 213,098 is: 476,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,272 : 213,098 = 213,098 : x
  2. Step 2: Convert to fraction form
    95,272/213,098 = 213,098/x
  3. Step 3: Cross multiply
    95,272x = 213,098 × 213,098
  4. Step 4: Simplify right side
    95,272x = 45,410,757,604
  5. Step 5: Solve for x
    x = 45,410,757,604/95,272
  6. Step 6: Final answer
    x = 476,643.27

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.