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Finding the Third Proportional to 119,667.38 and 181,986.75

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Solution

The third proportional to 119,667.38 and 181,986.75 is: 276,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,667.38 : 181,986.75 = 181,986.75 : x
  2. Step 2: Convert to fraction form
    119,667.38/181,986.75 = 181,986.75/x
  3. Step 3: Cross multiply
    119,667.38x = 181,986.75 × 181,986.75
  4. Step 4: Simplify right side
    119,667.38x = 33,119,177,175.56
  5. Step 5: Solve for x
    x = 33,119,177,175.56/119,667.38
  6. Step 6: Final answer
    x = 276,760.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.