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Finding the Third Proportional to 125,120.53 and 269,923.22

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Solution

The third proportional to 125,120.53 and 269,923.22 is: 582,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,120.53 : 269,923.22 = 269,923.22 : x
  2. Step 2: Convert to fraction form
    125,120.53/269,923.22 = 269,923.22/x
  3. Step 3: Cross multiply
    125,120.53x = 269,923.22 × 269,923.22
  4. Step 4: Simplify right side
    125,120.53x = 72,858,544,020.36
  5. Step 5: Solve for x
    x = 72,858,544,020.36/125,120.53
  6. Step 6: Final answer
    x = 582,306.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.