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Finding the Third Proportional to 126,036 and 263,756

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Solution

The third proportional to 126,036 and 263,756 is: 551,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,036 : 263,756 = 263,756 : x
  2. Step 2: Convert to fraction form
    126,036/263,756 = 263,756/x
  3. Step 3: Cross multiply
    126,036x = 263,756 × 263,756
  4. Step 4: Simplify right side
    126,036x = 69,567,227,536
  5. Step 5: Solve for x
    x = 69,567,227,536/126,036
  6. Step 6: Final answer
    x = 551,963.15

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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.