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Finding the Third Proportional to 126,468 and 169,164

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Solution

The third proportional to 126,468 and 169,164 is: 226,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,468 : 169,164 = 169,164 : x
  2. Step 2: Convert to fraction form
    126,468/169,164 = 169,164/x
  3. Step 3: Cross multiply
    126,468x = 169,164 × 169,164
  4. Step 4: Simplify right side
    126,468x = 28,616,458,896
  5. Step 5: Solve for x
    x = 28,616,458,896/126,468
  6. Step 6: Final answer
    x = 226,274.31

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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.