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Finding the Third Proportional to 126,980 and 276,536

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Solution

The third proportional to 126,980 and 276,536 is: 602,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,980 : 276,536 = 276,536 : x
  2. Step 2: Convert to fraction form
    126,980/276,536 = 276,536/x
  3. Step 3: Cross multiply
    126,980x = 276,536 × 276,536
  4. Step 4: Simplify right side
    126,980x = 76,472,159,296
  5. Step 5: Solve for x
    x = 76,472,159,296/126,980
  6. Step 6: Final answer
    x = 602,237.83

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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.