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Finding the Third Proportional to 122,142.75 and 269,132.25

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Solution

The third proportional to 122,142.75 and 269,132.25 is: 593,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,142.75 : 269,132.25 = 269,132.25 : x
  2. Step 2: Convert to fraction form
    122,142.75/269,132.25 = 269,132.25/x
  3. Step 3: Cross multiply
    122,142.75x = 269,132.25 × 269,132.25
  4. Step 4: Simplify right side
    122,142.75x = 72,432,167,990.06
  5. Step 5: Solve for x
    x = 72,432,167,990.06/122,142.75
  6. Step 6: Final answer
    x = 593,012.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.