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Finding the Third Proportional to 126,063.50 and 263,811

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Solution

The third proportional to 126,063.50 and 263,811 is: 552,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,063.50 : 263,811 = 263,811 : x
  2. Step 2: Convert to fraction form
    126,063.50/263,811 = 263,811/x
  3. Step 3: Cross multiply
    126,063.50x = 263,811 × 263,811
  4. Step 4: Simplify right side
    126,063.50x = 69,596,243,721
  5. Step 5: Solve for x
    x = 69,596,243,721/126,063.50
  6. Step 6: Final answer
    x = 552,072.91

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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.