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Finding the Third Proportional to 126,927 and 259,767

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Solution

The third proportional to 126,927 and 259,767 is: 531,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,927 : 259,767 = 259,767 : x
  2. Step 2: Convert to fraction form
    126,927/259,767 = 259,767/x
  3. Step 3: Cross multiply
    126,927x = 259,767 × 259,767
  4. Step 4: Simplify right side
    126,927x = 67,478,894,289
  5. Step 5: Solve for x
    x = 67,478,894,289/126,927
  6. Step 6: Final answer
    x = 531,635.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.