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Finding the Third Proportional to 41,042 and 87,268

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Solution

The third proportional to 41,042 and 87,268 is: 185,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,042 : 87,268 = 87,268 : x
  2. Step 2: Convert to fraction form
    41,042/87,268 = 87,268/x
  3. Step 3: Cross multiply
    41,042x = 87,268 × 87,268
  4. Step 4: Simplify right side
    41,042x = 7,615,703,824
  5. Step 5: Solve for x
    x = 7,615,703,824/41,042
  6. Step 6: Final answer
    x = 185,558.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.