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Finding the Third Proportional to 85,086 and 182,808

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Solution

The third proportional to 85,086 and 182,808 is: 392,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,086 : 182,808 = 182,808 : x
  2. Step 2: Convert to fraction form
    85,086/182,808 = 182,808/x
  3. Step 3: Cross multiply
    85,086x = 182,808 × 182,808
  4. Step 4: Simplify right side
    85,086x = 33,418,764,864
  5. Step 5: Solve for x
    x = 33,418,764,864/85,086
  6. Step 6: Final answer
    x = 392,764.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.