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Finding the Third Proportional to 82,260.75 and 123,998.25

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Solution

The third proportional to 82,260.75 and 123,998.25 is: 186,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,260.75 : 123,998.25 = 123,998.25 : x
  2. Step 2: Convert to fraction form
    82,260.75/123,998.25 = 123,998.25/x
  3. Step 3: Cross multiply
    82,260.75x = 123,998.25 × 123,998.25
  4. Step 4: Simplify right side
    82,260.75x = 15,375,566,003.06
  5. Step 5: Solve for x
    x = 15,375,566,003.06/82,260.75
  6. Step 6: Final answer
    x = 186,912.54

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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.