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Finding the Third Proportional to 40,394.25 and 87,241.50

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Solution

The third proportional to 40,394.25 and 87,241.50 is: 188,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,394.25 : 87,241.50 = 87,241.50 : x
  2. Step 2: Convert to fraction form
    40,394.25/87,241.50 = 87,241.50/x
  3. Step 3: Cross multiply
    40,394.25x = 87,241.50 × 87,241.50
  4. Step 4: Simplify right side
    40,394.25x = 7,611,079,322.25
  5. Step 5: Solve for x
    x = 7,611,079,322.25/40,394.25
  6. Step 6: Final answer
    x = 188,419.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.