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Finding the Third Proportional to 126,702 and 276,936

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Solution

The third proportional to 126,702 and 276,936 is: 605,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,702 : 276,936 = 276,936 : x
  2. Step 2: Convert to fraction form
    126,702/276,936 = 276,936/x
  3. Step 3: Cross multiply
    126,702x = 276,936 × 276,936
  4. Step 4: Simplify right side
    126,702x = 76,693,548,096
  5. Step 5: Solve for x
    x = 76,693,548,096/126,702
  6. Step 6: Final answer
    x = 605,306.53

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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.