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Finding the Third Proportional to 80,646 and 125,127

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Solution

The third proportional to 80,646 and 125,127 is: 194,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,646 : 125,127 = 125,127 : x
  2. Step 2: Convert to fraction form
    80,646/125,127 = 125,127/x
  3. Step 3: Cross multiply
    80,646x = 125,127 × 125,127
  4. Step 4: Simplify right side
    80,646x = 15,656,766,129
  5. Step 5: Solve for x
    x = 15,656,766,129/80,646
  6. Step 6: Final answer
    x = 194,141.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.