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Finding the Third Proportional to 81,774 and 166,860

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Solution

The third proportional to 81,774 and 166,860 is: 340,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,774 : 166,860 = 166,860 : x
  2. Step 2: Convert to fraction form
    81,774/166,860 = 166,860/x
  3. Step 3: Cross multiply
    81,774x = 166,860 × 166,860
  4. Step 4: Simplify right side
    81,774x = 27,842,259,600
  5. Step 5: Solve for x
    x = 27,842,259,600/81,774
  6. Step 6: Final answer
    x = 340,478.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.