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Finding the Third Proportional to 147.75 and 192

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Solution

The third proportional to 147.75 and 192 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.75 : 192 = 192 : x
  2. Step 2: Convert to fraction form
    147.75/192 = 192/x
  3. Step 3: Cross multiply
    147.75x = 192 × 192
  4. Step 4: Simplify right side
    147.75x = 36,864
  5. Step 5: Solve for x
    x = 36,864/147.75
  6. Step 6: Final answer
    x = 249.50

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