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Finding the Third Proportional to 137,796.75 and 206,696.25

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Solution

The third proportional to 137,796.75 and 206,696.25 is: 310,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,796.75 : 206,696.25 = 206,696.25 : x
  2. Step 2: Convert to fraction form
    137,796.75/206,696.25 = 206,696.25/x
  3. Step 3: Cross multiply
    137,796.75x = 206,696.25 × 206,696.25
  4. Step 4: Simplify right side
    137,796.75x = 42,723,339,764.06
  5. Step 5: Solve for x
    x = 42,723,339,764.06/137,796.75
  6. Step 6: Final answer
    x = 310,046.06

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