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Finding the Third Proportional to 90,879.75 and 186,167.25

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Solution

The third proportional to 90,879.75 and 186,167.25 is: 381,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,879.75 : 186,167.25 = 186,167.25 : x
  2. Step 2: Convert to fraction form
    90,879.75/186,167.25 = 186,167.25/x
  3. Step 3: Cross multiply
    90,879.75x = 186,167.25 × 186,167.25
  4. Step 4: Simplify right side
    90,879.75x = 34,658,244,972.56
  5. Step 5: Solve for x
    x = 34,658,244,972.56/90,879.75
  6. Step 6: Final answer
    x = 381,363.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.