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Finding the Third Proportional to 119,760.75 and 199,590.75

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Solution

The third proportional to 119,760.75 and 199,590.75 is: 332,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,760.75 : 199,590.75 = 199,590.75 : x
  2. Step 2: Convert to fraction form
    119,760.75/199,590.75 = 199,590.75/x
  3. Step 3: Cross multiply
    119,760.75x = 199,590.75 × 199,590.75
  4. Step 4: Simplify right side
    119,760.75x = 39,836,467,485.56
  5. Step 5: Solve for x
    x = 39,836,467,485.56/119,760.75
  6. Step 6: Final answer
    x = 332,633.75

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.