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Finding the Third Proportional to 57,828 and 126,135

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Solution

The third proportional to 57,828 and 126,135 is: 275,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,828 : 126,135 = 126,135 : x
  2. Step 2: Convert to fraction form
    57,828/126,135 = 126,135/x
  3. Step 3: Cross multiply
    57,828x = 126,135 × 126,135
  4. Step 4: Simplify right side
    57,828x = 15,910,038,225
  5. Step 5: Solve for x
    x = 15,910,038,225/57,828
  6. Step 6: Final answer
    x = 275,126.90

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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.