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Finding the Third Proportional to 95,132 and 204,980

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Solution

The third proportional to 95,132 and 204,980 is: 441,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,132 : 204,980 = 204,980 : x
  2. Step 2: Convert to fraction form
    95,132/204,980 = 204,980/x
  3. Step 3: Cross multiply
    95,132x = 204,980 × 204,980
  4. Step 4: Simplify right side
    95,132x = 42,016,800,400
  5. Step 5: Solve for x
    x = 42,016,800,400/95,132
  6. Step 6: Final answer
    x = 441,668.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.