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Finding the Third Proportional to 144.75 and 170

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Solution

The third proportional to 144.75 and 170 is: 199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.75 : 170 = 170 : x
  2. Step 2: Convert to fraction form
    144.75/170 = 170/x
  3. Step 3: Cross multiply
    144.75x = 170 × 170
  4. Step 4: Simplify right side
    144.75x = 28,900
  5. Step 5: Solve for x
    x = 28,900/144.75
  6. Step 6: Final answer
    x = 199.65

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