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Finding the Third Proportional to 126,024 and 272,734

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Solution

The third proportional to 126,024 and 272,734 is: 590,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,024 : 272,734 = 272,734 : x
  2. Step 2: Convert to fraction form
    126,024/272,734 = 272,734/x
  3. Step 3: Cross multiply
    126,024x = 272,734 × 272,734
  4. Step 4: Simplify right side
    126,024x = 74,383,834,756
  5. Step 5: Solve for x
    x = 74,383,834,756/126,024
  6. Step 6: Final answer
    x = 590,235.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.