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Finding the Third Proportional to 51,131 and 104,741

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Solution

The third proportional to 51,131 and 104,741 is: 214,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,131 : 104,741 = 104,741 : x
  2. Step 2: Convert to fraction form
    51,131/104,741 = 104,741/x
  3. Step 3: Cross multiply
    51,131x = 104,741 × 104,741
  4. Step 4: Simplify right side
    51,131x = 10,970,677,081
  5. Step 5: Solve for x
    x = 10,970,677,081/51,131
  6. Step 6: Final answer
    x = 214,560.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.