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Finding the Third Proportional to 126.75 and 274.88

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Solution

The third proportional to 126.75 and 274.88 is: 596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.75 : 274.88 = 274.88 : x
  2. Step 2: Convert to fraction form
    126.75/274.88 = 274.88/x
  3. Step 3: Cross multiply
    126.75x = 274.88 × 274.88
  4. Step 4: Simplify right side
    126.75x = 75,556.27
  5. Step 5: Solve for x
    x = 75,556.27/126.75
  6. Step 6: Final answer
    x = 596.10

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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.