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Finding the Third Proportional to 85,233 and 132,093

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Solution

The third proportional to 85,233 and 132,093 is: 204,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,233 : 132,093 = 132,093 : x
  2. Step 2: Convert to fraction form
    85,233/132,093 = 132,093/x
  3. Step 3: Cross multiply
    85,233x = 132,093 × 132,093
  4. Step 4: Simplify right side
    85,233x = 17,448,560,649
  5. Step 5: Solve for x
    x = 17,448,560,649/85,233
  6. Step 6: Final answer
    x = 204,716.02

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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.