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Finding the Third Proportional to 81,785.25 and 123,087.38

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Solution

The third proportional to 81,785.25 and 123,087.38 is: 185,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,785.25 : 123,087.38 = 123,087.38 : x
  2. Step 2: Convert to fraction form
    81,785.25/123,087.38 = 123,087.38/x
  3. Step 3: Cross multiply
    81,785.25x = 123,087.38 × 123,087.38
  4. Step 4: Simplify right side
    81,785.25x = 15,150,501,884.39
  5. Step 5: Solve for x
    x = 15,150,501,884.39/81,785.25
  6. Step 6: Final answer
    x = 185,247.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.