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Finding the Third Proportional to 126,033.75 and 263,751.75

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Solution

The third proportional to 126,033.75 and 263,751.75 is: 551,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,033.75 : 263,751.75 = 263,751.75 : x
  2. Step 2: Convert to fraction form
    126,033.75/263,751.75 = 263,751.75/x
  3. Step 3: Cross multiply
    126,033.75x = 263,751.75 × 263,751.75
  4. Step 4: Simplify right side
    126,033.75x = 69,564,985,628.06
  5. Step 5: Solve for x
    x = 69,564,985,628.06/126,033.75
  6. Step 6: Final answer
    x = 551,955.22

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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.