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Finding the Third Proportional to 40,794 and 90,336

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Solution

The third proportional to 40,794 and 90,336 is: 200,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,794 : 90,336 = 90,336 : x
  2. Step 2: Convert to fraction form
    40,794/90,336 = 90,336/x
  3. Step 3: Cross multiply
    40,794x = 90,336 × 90,336
  4. Step 4: Simplify right side
    40,794x = 8,160,592,896
  5. Step 5: Solve for x
    x = 8,160,592,896/40,794
  6. Step 6: Final answer
    x = 200,043.95

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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.