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Finding the Third Proportional to 76.78 and 118.89

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Solution

The third proportional to 76.78 and 118.89 is: 184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.78 : 118.89 = 118.89 : x
  2. Step 2: Convert to fraction form
    76.78/118.89 = 118.89/x
  3. Step 3: Cross multiply
    76.78x = 118.89 × 118.89
  4. Step 4: Simplify right side
    76.78x = 14,134.98
  5. Step 5: Solve for x
    x = 14,134.98/76.78
  6. Step 6: Final answer
    x = 184.09

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