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Finding the Third Proportional to 126,482 and 169,251

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Solution

The third proportional to 126,482 and 169,251 is: 226,482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,482 : 169,251 = 169,251 : x
  2. Step 2: Convert to fraction form
    126,482/169,251 = 169,251/x
  3. Step 3: Cross multiply
    126,482x = 169,251 × 169,251
  4. Step 4: Simplify right side
    126,482x = 28,645,901,001
  5. Step 5: Solve for x
    x = 28,645,901,001/126,482
  6. Step 6: Final answer
    x = 226,482.04

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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.