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Finding the Third Proportional to 119,879.75 and 178,998.75

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Solution

The third proportional to 119,879.75 and 178,998.75 is: 267,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,879.75 : 178,998.75 = 178,998.75 : x
  2. Step 2: Convert to fraction form
    119,879.75/178,998.75 = 178,998.75/x
  3. Step 3: Cross multiply
    119,879.75x = 178,998.75 × 178,998.75
  4. Step 4: Simplify right side
    119,879.75x = 32,040,552,501.56
  5. Step 5: Solve for x
    x = 32,040,552,501.56/119,879.75
  6. Step 6: Final answer
    x = 267,272.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.