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Finding the Third Proportional to 127,045 and 276,234

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Solution

The third proportional to 127,045 and 276,234 is: 600,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,045 : 276,234 = 276,234 : x
  2. Step 2: Convert to fraction form
    127,045/276,234 = 276,234/x
  3. Step 3: Cross multiply
    127,045x = 276,234 × 276,234
  4. Step 4: Simplify right side
    127,045x = 76,305,222,756
  5. Step 5: Solve for x
    x = 76,305,222,756/127,045
  6. Step 6: Final answer
    x = 600,615.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.