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Finding the Third Proportional to 126,927 and 276,624

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Solution

The third proportional to 126,927 and 276,624 is: 602,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,927 : 276,624 = 276,624 : x
  2. Step 2: Convert to fraction form
    126,927/276,624 = 276,624/x
  3. Step 3: Cross multiply
    126,927x = 276,624 × 276,624
  4. Step 4: Simplify right side
    126,927x = 76,520,837,376
  5. Step 5: Solve for x
    x = 76,520,837,376/126,927
  6. Step 6: Final answer
    x = 602,872.81

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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.