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Finding the Third Proportional to 95,073 and 204,186

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Solution

The third proportional to 95,073 and 204,186 is: 438,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,073 : 204,186 = 204,186 : x
  2. Step 2: Convert to fraction form
    95,073/204,186 = 204,186/x
  3. Step 3: Cross multiply
    95,073x = 204,186 × 204,186
  4. Step 4: Simplify right side
    95,073x = 41,691,922,596
  5. Step 5: Solve for x
    x = 41,691,922,596/95,073
  6. Step 6: Final answer
    x = 438,525.37

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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.