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Finding the Third Proportional to 95,744 and 204,519

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Solution

The third proportional to 95,744 and 204,519 is: 436,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,744 : 204,519 = 204,519 : x
  2. Step 2: Convert to fraction form
    95,744/204,519 = 204,519/x
  3. Step 3: Cross multiply
    95,744x = 204,519 × 204,519
  4. Step 4: Simplify right side
    95,744x = 41,828,021,361
  5. Step 5: Solve for x
    x = 41,828,021,361/95,744
  6. Step 6: Final answer
    x = 436,873.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.