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Finding the Third Proportional to 78.61 and 115.66

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Solution

The third proportional to 78.61 and 115.66 is: 170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.61 : 115.66 = 115.66 : x
  2. Step 2: Convert to fraction form
    78.61/115.66 = 115.66/x
  3. Step 3: Cross multiply
    78.61x = 115.66 × 115.66
  4. Step 4: Simplify right side
    78.61x = 13,378.18
  5. Step 5: Solve for x
    x = 13,378.18/78.61
  6. Step 6: Final answer
    x = 170.19

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