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Finding the Third Proportional to 125,661.38 and 273,481.31

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Solution

The third proportional to 125,661.38 and 273,481.31 is: 595,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,661.38 : 273,481.31 = 273,481.31 : x
  2. Step 2: Convert to fraction form
    125,661.38/273,481.31 = 273,481.31/x
  3. Step 3: Cross multiply
    125,661.38x = 273,481.31 × 273,481.31
  4. Step 4: Simplify right side
    125,661.38x = 74,792,028,286.72
  5. Step 5: Solve for x
    x = 74,792,028,286.72/125,661.38
  6. Step 6: Final answer
    x = 595,187.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.