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Finding the Third Proportional to 125,902.13 and 270,439.31

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Solution

The third proportional to 125,902.13 and 270,439.31 is: 580,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,902.13 : 270,439.31 = 270,439.31 : x
  2. Step 2: Convert to fraction form
    125,902.13/270,439.31 = 270,439.31/x
  3. Step 3: Cross multiply
    125,902.13x = 270,439.31 × 270,439.31
  4. Step 4: Simplify right side
    125,902.13x = 73,137,421,745.47
  5. Step 5: Solve for x
    x = 73,137,421,745.47/125,902.13
  6. Step 6: Final answer
    x = 580,906.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.