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Finding the Third Proportional to 85,165.31 and 132,245.37

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Solution

The third proportional to 85,165.31 and 132,245.37 is: 205,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,165.31 : 132,245.37 = 132,245.37 : x
  2. Step 2: Convert to fraction form
    85,165.31/132,245.37 = 132,245.37/x
  3. Step 3: Cross multiply
    85,165.31x = 132,245.37 × 132,245.37
  4. Step 4: Simplify right side
    85,165.31x = 17,488,837,142.56
  5. Step 5: Solve for x
    x = 17,488,837,142.56/85,165.31
  6. Step 6: Final answer
    x = 205,351.65

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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.