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Finding the Third Proportional to 95,939.44 and 143,909.16

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Solution

The third proportional to 95,939.44 and 143,909.16 is: 215,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,939.44 : 143,909.16 = 143,909.16 : x
  2. Step 2: Convert to fraction form
    95,939.44/143,909.16 = 143,909.16/x
  3. Step 3: Cross multiply
    95,939.44x = 143,909.16 × 143,909.16
  4. Step 4: Simplify right side
    95,939.44x = 20,709,845,252.59
  5. Step 5: Solve for x
    x = 20,709,845,252.59/95,939.44
  6. Step 6: Final answer
    x = 215,863.73

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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.