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Finding the Third Proportional to 51,786 and 80,268

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Solution

The third proportional to 51,786 and 80,268 is: 124,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,786 : 80,268 = 80,268 : x
  2. Step 2: Convert to fraction form
    51,786/80,268 = 80,268/x
  3. Step 3: Cross multiply
    51,786x = 80,268 × 80,268
  4. Step 4: Simplify right side
    51,786x = 6,442,951,824
  5. Step 5: Solve for x
    x = 6,442,951,824/51,786
  6. Step 6: Final answer
    x = 124,414.94

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