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Finding the Third Proportional to 111,183.75 and 166,470.75

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Solution

The third proportional to 111,183.75 and 166,470.75 is: 249,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,183.75 : 166,470.75 = 166,470.75 : x
  2. Step 2: Convert to fraction form
    111,183.75/166,470.75 = 166,470.75/x
  3. Step 3: Cross multiply
    111,183.75x = 166,470.75 × 166,470.75
  4. Step 4: Simplify right side
    111,183.75x = 27,712,510,605.56
  5. Step 5: Solve for x
    x = 27,712,510,605.56/111,183.75
  6. Step 6: Final answer
    x = 249,249.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.