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Finding the Third Proportional to 76.15 and 114.12

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Solution

The third proportional to 76.15 and 114.12 is: 171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.15 : 114.12 = 114.12 : x
  2. Step 2: Convert to fraction form
    76.15/114.12 = 114.12/x
  3. Step 3: Cross multiply
    76.15x = 114.12 × 114.12
  4. Step 4: Simplify right side
    76.15x = 13,022.73
  5. Step 5: Solve for x
    x = 13,022.73/76.15
  6. Step 6: Final answer
    x = 171.02

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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.