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Finding the Third Proportional to 126,039 and 263,762

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Solution

The third proportional to 126,039 and 263,762 is: 551,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,039 : 263,762 = 263,762 : x
  2. Step 2: Convert to fraction form
    126,039/263,762 = 263,762/x
  3. Step 3: Cross multiply
    126,039x = 263,762 × 263,762
  4. Step 4: Simplify right side
    126,039x = 69,570,392,644
  5. Step 5: Solve for x
    x = 69,570,392,644/126,039
  6. Step 6: Final answer
    x = 551,975.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.