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Finding the Third Proportional to 126,362 and 169,131

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Solution

The third proportional to 126,362 and 169,131 is: 226,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,362 : 169,131 = 169,131 : x
  2. Step 2: Convert to fraction form
    126,362/169,131 = 169,131/x
  3. Step 3: Cross multiply
    126,362x = 169,131 × 169,131
  4. Step 4: Simplify right side
    126,362x = 28,605,295,161
  5. Step 5: Solve for x
    x = 28,605,295,161/126,362
  6. Step 6: Final answer
    x = 226,375.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.