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Finding the Third Proportional to 95,131 and 206,112

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Solution

The third proportional to 95,131 and 206,112 is: 446,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,131 : 206,112 = 206,112 : x
  2. Step 2: Convert to fraction form
    95,131/206,112 = 206,112/x
  3. Step 3: Cross multiply
    95,131x = 206,112 × 206,112
  4. Step 4: Simplify right side
    95,131x = 42,482,156,544
  5. Step 5: Solve for x
    x = 42,482,156,544/95,131
  6. Step 6: Final answer
    x = 446,564.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.