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Finding the Third Proportional to 111,512.06 and 166,781.25

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Solution

The third proportional to 111,512.06 and 166,781.25 is: 249,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,512.06 : 166,781.25 = 166,781.25 : x
  2. Step 2: Convert to fraction form
    111,512.06/166,781.25 = 166,781.25/x
  3. Step 3: Cross multiply
    111,512.06x = 166,781.25 × 166,781.25
  4. Step 4: Simplify right side
    111,512.06x = 27,815,985,351.56
  5. Step 5: Solve for x
    x = 27,815,985,351.56/111,512.06
  6. Step 6: Final answer
    x = 249,443.73

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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.