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Finding the Third Proportional to 33,268.75 and 68,089.75

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Solution

The third proportional to 33,268.75 and 68,089.75 is: 139,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,268.75 : 68,089.75 = 68,089.75 : x
  2. Step 2: Convert to fraction form
    33,268.75/68,089.75 = 68,089.75/x
  3. Step 3: Cross multiply
    33,268.75x = 68,089.75 × 68,089.75
  4. Step 4: Simplify right side
    33,268.75x = 4,636,214,055.06
  5. Step 5: Solve for x
    x = 4,636,214,055.06/33,268.75
  6. Step 6: Final answer
    x = 139,356.42

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.