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Finding the Third Proportional to 85,540 and 187,847

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Solution

The third proportional to 85,540 and 187,847 is: 412,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,540 : 187,847 = 187,847 : x
  2. Step 2: Convert to fraction form
    85,540/187,847 = 187,847/x
  3. Step 3: Cross multiply
    85,540x = 187,847 × 187,847
  4. Step 4: Simplify right side
    85,540x = 35,286,495,409
  5. Step 5: Solve for x
    x = 35,286,495,409/85,540
  6. Step 6: Final answer
    x = 412,514.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.