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Finding the Third Proportional to 95,904 and 143,568

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Solution

The third proportional to 95,904 and 143,568 is: 214,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,904 : 143,568 = 143,568 : x
  2. Step 2: Convert to fraction form
    95,904/143,568 = 143,568/x
  3. Step 3: Cross multiply
    95,904x = 143,568 × 143,568
  4. Step 4: Simplify right side
    95,904x = 20,611,770,624
  5. Step 5: Solve for x
    x = 20,611,770,624/95,904
  6. Step 6: Final answer
    x = 214,920.86

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