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Finding the Third Proportional to 91,993.50 and 135,939.38

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Solution

The third proportional to 91,993.50 and 135,939.38 is: 200,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,993.50 : 135,939.38 = 135,939.38 : x
  2. Step 2: Convert to fraction form
    91,993.50/135,939.38 = 135,939.38/x
  3. Step 3: Cross multiply
    91,993.50x = 135,939.38 × 135,939.38
  4. Step 4: Simplify right side
    91,993.50x = 18,479,513,675.39
  5. Step 5: Solve for x
    x = 18,479,513,675.39/91,993.50
  6. Step 6: Final answer
    x = 200,878.47

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.