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Finding the Third Proportional to 51,039 and 111,105

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Solution

The third proportional to 51,039 and 111,105 is: 241,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,039 : 111,105 = 111,105 : x
  2. Step 2: Convert to fraction form
    51,039/111,105 = 111,105/x
  3. Step 3: Cross multiply
    51,039x = 111,105 × 111,105
  4. Step 4: Simplify right side
    51,039x = 12,344,321,025
  5. Step 5: Solve for x
    x = 12,344,321,025/51,039
  6. Step 6: Final answer
    x = 241,860.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.