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Finding the Third Proportional to 135,104.25 and 293,991.75

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Solution

The third proportional to 135,104.25 and 293,991.75 is: 639,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,104.25 : 293,991.75 = 293,991.75 : x
  2. Step 2: Convert to fraction form
    135,104.25/293,991.75 = 293,991.75/x
  3. Step 3: Cross multiply
    135,104.25x = 293,991.75 × 293,991.75
  4. Step 4: Simplify right side
    135,104.25x = 86,431,149,068.06
  5. Step 5: Solve for x
    x = 86,431,149,068.06/135,104.25
  6. Step 6: Final answer
    x = 639,736.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.