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Finding the Third Proportional to 71,540.25 and 141,279

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Solution

The third proportional to 71,540.25 and 141,279 is: 279,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,540.25 : 141,279 = 141,279 : x
  2. Step 2: Convert to fraction form
    71,540.25/141,279 = 141,279/x
  3. Step 3: Cross multiply
    71,540.25x = 141,279 × 141,279
  4. Step 4: Simplify right side
    71,540.25x = 19,959,755,841
  5. Step 5: Solve for x
    x = 19,959,755,841/71,540.25
  6. Step 6: Final answer
    x = 279,000.36

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.