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Finding the Third Proportional to 40,243.50 and 85,853.25

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Solution

The third proportional to 40,243.50 and 85,853.25 is: 183,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,243.50 : 85,853.25 = 85,853.25 : x
  2. Step 2: Convert to fraction form
    40,243.50/85,853.25 = 85,853.25/x
  3. Step 3: Cross multiply
    40,243.50x = 85,853.25 × 85,853.25
  4. Step 4: Simplify right side
    40,243.50x = 7,370,780,535.56
  5. Step 5: Solve for x
    x = 7,370,780,535.56/40,243.50
  6. Step 6: Final answer
    x = 183,154.56

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.