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Finding the Third Proportional to 40,814 and 90,400

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Solution

The third proportional to 40,814 and 90,400 is: 200,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,814 : 90,400 = 90,400 : x
  2. Step 2: Convert to fraction form
    40,814/90,400 = 90,400/x
  3. Step 3: Cross multiply
    40,814x = 90,400 × 90,400
  4. Step 4: Simplify right side
    40,814x = 8,172,160,000
  5. Step 5: Solve for x
    x = 8,172,160,000/40,814
  6. Step 6: Final answer
    x = 200,229.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.