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Finding the Third Proportional to 126,436 and 169,662

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Solution

The third proportional to 126,436 and 169,662 is: 227,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,436 : 169,662 = 169,662 : x
  2. Step 2: Convert to fraction form
    126,436/169,662 = 169,662/x
  3. Step 3: Cross multiply
    126,436x = 169,662 × 169,662
  4. Step 4: Simplify right side
    126,436x = 28,785,194,244
  5. Step 5: Solve for x
    x = 28,785,194,244/126,436
  6. Step 6: Final answer
    x = 227,666.13

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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.