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Finding the Third Proportional to 40,744 and 88,400

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Solution

The third proportional to 40,744 and 88,400 is: 191,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,744 : 88,400 = 88,400 : x
  2. Step 2: Convert to fraction form
    40,744/88,400 = 88,400/x
  3. Step 3: Cross multiply
    40,744x = 88,400 × 88,400
  4. Step 4: Simplify right side
    40,744x = 7,814,560,000
  5. Step 5: Solve for x
    x = 7,814,560,000/40,744
  6. Step 6: Final answer
    x = 191,796.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.