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Finding the Third Proportional to 57,039 and 133,267

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Solution

The third proportional to 57,039 and 133,267 is: 311,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,039 : 133,267 = 133,267 : x
  2. Step 2: Convert to fraction form
    57,039/133,267 = 133,267/x
  3. Step 3: Cross multiply
    57,039x = 133,267 × 133,267
  4. Step 4: Simplify right side
    57,039x = 17,760,093,289
  5. Step 5: Solve for x
    x = 17,760,093,289/57,039
  6. Step 6: Final answer
    x = 311,367.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.