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Finding the Third Proportional to 95,019 and 204,767

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Solution

The third proportional to 95,019 and 204,767 is: 441,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,019 : 204,767 = 204,767 : x
  2. Step 2: Convert to fraction form
    95,019/204,767 = 204,767/x
  3. Step 3: Cross multiply
    95,019x = 204,767 × 204,767
  4. Step 4: Simplify right side
    95,019x = 41,929,524,289
  5. Step 5: Solve for x
    x = 41,929,524,289/95,019
  6. Step 6: Final answer
    x = 441,275.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.