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Finding the Third Proportional to 81,694 and 110,873

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Solution

The third proportional to 81,694 and 110,873 is: 150,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,694 : 110,873 = 110,873 : x
  2. Step 2: Convert to fraction form
    81,694/110,873 = 110,873/x
  3. Step 3: Cross multiply
    81,694x = 110,873 × 110,873
  4. Step 4: Simplify right side
    81,694x = 12,292,822,129
  5. Step 5: Solve for x
    x = 12,292,822,129/81,694
  6. Step 6: Final answer
    x = 150,473.99

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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.