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Finding the Third Proportional to 110,585.25 and 166,794

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Solution

The third proportional to 110,585.25 and 166,794 is: 251,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,585.25 : 166,794 = 166,794 : x
  2. Step 2: Convert to fraction form
    110,585.25/166,794 = 166,794/x
  3. Step 3: Cross multiply
    110,585.25x = 166,794 × 166,794
  4. Step 4: Simplify right side
    110,585.25x = 27,820,238,436
  5. Step 5: Solve for x
    x = 27,820,238,436/110,585.25
  6. Step 6: Final answer
    x = 251,572.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.