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Finding the Third Proportional to 40,286 and 87,268

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Solution

The third proportional to 40,286 and 87,268 is: 189,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,286 : 87,268 = 87,268 : x
  2. Step 2: Convert to fraction form
    40,286/87,268 = 87,268/x
  3. Step 3: Cross multiply
    40,286x = 87,268 × 87,268
  4. Step 4: Simplify right side
    40,286x = 7,615,703,824
  5. Step 5: Solve for x
    x = 7,615,703,824/40,286
  6. Step 6: Final answer
    x = 189,040.95

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Why These Related Problems?

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