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Finding the Third Proportional to 57,900 and 126,204

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Solution

The third proportional to 57,900 and 126,204 is: 275,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,900 : 126,204 = 126,204 : x
  2. Step 2: Convert to fraction form
    57,900/126,204 = 126,204/x
  3. Step 3: Cross multiply
    57,900x = 126,204 × 126,204
  4. Step 4: Simplify right side
    57,900x = 15,927,449,616
  5. Step 5: Solve for x
    x = 15,927,449,616/57,900
  6. Step 6: Final answer
    x = 275,085.49

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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.