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Finding the Third Proportional to 43,233.50 and 94,042

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Solution

The third proportional to 43,233.50 and 94,042 is: 204,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,233.50 : 94,042 = 94,042 : x
  2. Step 2: Convert to fraction form
    43,233.50/94,042 = 94,042/x
  3. Step 3: Cross multiply
    43,233.50x = 94,042 × 94,042
  4. Step 4: Simplify right side
    43,233.50x = 8,843,897,764
  5. Step 5: Solve for x
    x = 8,843,897,764/43,233.50
  6. Step 6: Final answer
    x = 204,561.23

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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.