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Finding the Third Proportional to 76.75 and 114.88

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Solution

The third proportional to 76.75 and 114.88 is: 171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.75 : 114.88 = 114.88 : x
  2. Step 2: Convert to fraction form
    76.75/114.88 = 114.88/x
  3. Step 3: Cross multiply
    76.75x = 114.88 × 114.88
  4. Step 4: Simplify right side
    76.75x = 13,196.27
  5. Step 5: Solve for x
    x = 13,196.27/76.75
  6. Step 6: Final answer
    x = 171.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.