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Finding the Third Proportional to 95,709.75 and 140,604.75

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Solution

The third proportional to 95,709.75 and 140,604.75 is: 206,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,709.75 : 140,604.75 = 140,604.75 : x
  2. Step 2: Convert to fraction form
    95,709.75/140,604.75 = 140,604.75/x
  3. Step 3: Cross multiply
    95,709.75x = 140,604.75 × 140,604.75
  4. Step 4: Simplify right side
    95,709.75x = 19,769,695,722.56
  5. Step 5: Solve for x
    x = 19,769,695,722.56/95,709.75
  6. Step 6: Final answer
    x = 206,558.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.