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Finding the Third Proportional to 95,934 and 143,916

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Solution

The third proportional to 95,934 and 143,916 is: 215,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,934 : 143,916 = 143,916 : x
  2. Step 2: Convert to fraction form
    95,934/143,916 = 143,916/x
  3. Step 3: Cross multiply
    95,934x = 143,916 × 143,916
  4. Step 4: Simplify right side
    95,934x = 20,711,815,056
  5. Step 5: Solve for x
    x = 20,711,815,056/95,934
  6. Step 6: Final answer
    x = 215,896.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.