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Finding the Third Proportional to 68,843.25 and 96,940.13

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Solution

The third proportional to 68,843.25 and 96,940.13 is: 136,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,843.25 : 96,940.13 = 96,940.13 : x
  2. Step 2: Convert to fraction form
    68,843.25/96,940.13 = 96,940.13/x
  3. Step 3: Cross multiply
    68,843.25x = 96,940.13 × 96,940.13
  4. Step 4: Simplify right side
    68,843.25x = 9,397,387,835.02
  5. Step 5: Solve for x
    x = 9,397,387,835.02/68,843.25
  6. Step 6: Final answer
    x = 136,504.13

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.