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Finding the Third Proportional to 83,552 and 131,268

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Solution

The third proportional to 83,552 and 131,268 is: 206,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,552 : 131,268 = 131,268 : x
  2. Step 2: Convert to fraction form
    83,552/131,268 = 131,268/x
  3. Step 3: Cross multiply
    83,552x = 131,268 × 131,268
  4. Step 4: Simplify right side
    83,552x = 17,231,287,824
  5. Step 5: Solve for x
    x = 17,231,287,824/83,552
  6. Step 6: Final answer
    x = 206,234.30

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