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Finding the Third Proportional to 126.75 and 188.25

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Solution

The third proportional to 126.75 and 188.25 is: 279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.75 : 188.25 = 188.25 : x
  2. Step 2: Convert to fraction form
    126.75/188.25 = 188.25/x
  3. Step 3: Cross multiply
    126.75x = 188.25 × 188.25
  4. Step 4: Simplify right side
    126.75x = 35,438.06
  5. Step 5: Solve for x
    x = 35,438.06/126.75
  6. Step 6: Final answer
    x = 279.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.