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Finding the Third Proportional to 54,231.75 and 111,106.13

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Solution

The third proportional to 54,231.75 and 111,106.13 is: 227,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,231.75 : 111,106.13 = 111,106.13 : x
  2. Step 2: Convert to fraction form
    54,231.75/111,106.13 = 111,106.13/x
  3. Step 3: Cross multiply
    54,231.75x = 111,106.13 × 111,106.13
  4. Step 4: Simplify right side
    54,231.75x = 12,344,571,012.52
  5. Step 5: Solve for x
    x = 12,344,571,012.52/54,231.75
  6. Step 6: Final answer
    x = 227,626.27

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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.