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Finding the Third Proportional to 40,241 and 85,679.50

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Solution

The third proportional to 40,241 and 85,679.50 is: 182,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,241 : 85,679.50 = 85,679.50 : x
  2. Step 2: Convert to fraction form
    40,241/85,679.50 = 85,679.50/x
  3. Step 3: Cross multiply
    40,241x = 85,679.50 × 85,679.50
  4. Step 4: Simplify right side
    40,241x = 7,340,976,720.25
  5. Step 5: Solve for x
    x = 7,340,976,720.25/40,241
  6. Step 6: Final answer
    x = 182,425.31

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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.