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Finding the Third Proportional to 37,634 and 80,268

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Solution

The third proportional to 37,634 and 80,268 is: 171,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,634 : 80,268 = 80,268 : x
  2. Step 2: Convert to fraction form
    37,634/80,268 = 80,268/x
  3. Step 3: Cross multiply
    37,634x = 80,268 × 80,268
  4. Step 4: Simplify right side
    37,634x = 6,442,951,824
  5. Step 5: Solve for x
    x = 6,442,951,824/37,634
  6. Step 6: Final answer
    x = 171,200.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.