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Finding the Third Proportional to 95,744 and 208,084

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Solution

The third proportional to 95,744 and 208,084 is: 452,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,744 : 208,084 = 208,084 : x
  2. Step 2: Convert to fraction form
    95,744/208,084 = 208,084/x
  3. Step 3: Cross multiply
    95,744x = 208,084 × 208,084
  4. Step 4: Simplify right side
    95,744x = 43,298,951,056
  5. Step 5: Solve for x
    x = 43,298,951,056/95,744
  6. Step 6: Final answer
    x = 452,236.70

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Why These Related Problems?

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