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Finding the Third Proportional to 126,816 and 274,767

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Solution

The third proportional to 126,816 and 274,767 is: 595,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,816 : 274,767 = 274,767 : x
  2. Step 2: Convert to fraction form
    126,816/274,767 = 274,767/x
  3. Step 3: Cross multiply
    126,816x = 274,767 × 274,767
  4. Step 4: Simplify right side
    126,816x = 75,496,904,289
  5. Step 5: Solve for x
    x = 75,496,904,289/126,816
  6. Step 6: Final answer
    x = 595,326.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.