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Finding the Third Proportional to 76.75 and 150

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Solution

The third proportional to 76.75 and 150 is: 293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.75 : 150 = 150 : x
  2. Step 2: Convert to fraction form
    76.75/150 = 150/x
  3. Step 3: Cross multiply
    76.75x = 150 × 150
  4. Step 4: Simplify right side
    76.75x = 22,500
  5. Step 5: Solve for x
    x = 22,500/76.75
  6. Step 6: Final answer
    x = 293.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.