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Finding the Third Proportional to 81,686 and 110,862

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Solution

The third proportional to 81,686 and 110,862 is: 150,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,686 : 110,862 = 110,862 : x
  2. Step 2: Convert to fraction form
    81,686/110,862 = 110,862/x
  3. Step 3: Cross multiply
    81,686x = 110,862 × 110,862
  4. Step 4: Simplify right side
    81,686x = 12,290,383,044
  5. Step 5: Solve for x
    x = 12,290,383,044/81,686
  6. Step 6: Final answer
    x = 150,458.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.