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Finding the Third Proportional to 39,114 and 80,996

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Solution

The third proportional to 39,114 and 80,996 is: 167,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,114 : 80,996 = 80,996 : x
  2. Step 2: Convert to fraction form
    39,114/80,996 = 80,996/x
  3. Step 3: Cross multiply
    39,114x = 80,996 × 80,996
  4. Step 4: Simplify right side
    39,114x = 6,560,352,016
  5. Step 5: Solve for x
    x = 6,560,352,016/39,114
  6. Step 6: Final answer
    x = 167,723.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.