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Finding the Third Proportional to 122,142 and 269,131

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Solution

The third proportional to 122,142 and 269,131 is: 593,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,142 : 269,131 = 269,131 : x
  2. Step 2: Convert to fraction form
    122,142/269,131 = 269,131/x
  3. Step 3: Cross multiply
    122,142x = 269,131 × 269,131
  4. Step 4: Simplify right side
    122,142x = 72,431,495,161
  5. Step 5: Solve for x
    x = 72,431,495,161/122,142
  6. Step 6: Final answer
    x = 593,010.55

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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.