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Finding the Third Proportional to 80,116 and 125,672

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Solution

The third proportional to 80,116 and 125,672 is: 197,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,116 : 125,672 = 125,672 : x
  2. Step 2: Convert to fraction form
    80,116/125,672 = 125,672/x
  3. Step 3: Cross multiply
    80,116x = 125,672 × 125,672
  4. Step 4: Simplify right side
    80,116x = 15,793,451,584
  5. Step 5: Solve for x
    x = 15,793,451,584/80,116
  6. Step 6: Final answer
    x = 197,132.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.