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Finding the Third Proportional to 80,725 and 125,993

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Solution

The third proportional to 80,725 and 125,993 is: 196,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,725 : 125,993 = 125,993 : x
  2. Step 2: Convert to fraction form
    80,725/125,993 = 125,993/x
  3. Step 3: Cross multiply
    80,725x = 125,993 × 125,993
  4. Step 4: Simplify right side
    80,725x = 15,874,236,049
  5. Step 5: Solve for x
    x = 15,874,236,049/80,725
  6. Step 6: Final answer
    x = 196,645.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.