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Finding the Third Proportional to 53,204 and 111,912

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Solution

The third proportional to 53,204 and 111,912 is: 235,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204 : 111,912 = 111,912 : x
  2. Step 2: Convert to fraction form
    53,204/111,912 = 111,912/x
  3. Step 3: Cross multiply
    53,204x = 111,912 × 111,912
  4. Step 4: Simplify right side
    53,204x = 12,524,295,744
  5. Step 5: Solve for x
    x = 12,524,295,744/53,204
  6. Step 6: Final answer
    x = 235,401.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.