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Finding the Third Proportional to 51,024 and 111,912

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Solution

The third proportional to 51,024 and 111,912 is: 245,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,024 : 111,912 = 111,912 : x
  2. Step 2: Convert to fraction form
    51,024/111,912 = 111,912/x
  3. Step 3: Cross multiply
    51,024x = 111,912 × 111,912
  4. Step 4: Simplify right side
    51,024x = 12,524,295,744
  5. Step 5: Solve for x
    x = 12,524,295,744/51,024
  6. Step 6: Final answer
    x = 245,458.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.