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Finding the Third Proportional to 110,686 and 166,110

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Solution

The third proportional to 110,686 and 166,110 is: 249,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,686 : 166,110 = 166,110 : x
  2. Step 2: Convert to fraction form
    110,686/166,110 = 166,110/x
  3. Step 3: Cross multiply
    110,686x = 166,110 × 166,110
  4. Step 4: Simplify right side
    110,686x = 27,592,532,100
  5. Step 5: Solve for x
    x = 27,592,532,100/110,686
  6. Step 6: Final answer
    x = 249,286.56

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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.