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Finding the Third Proportional to 41,727 and 92,783

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Solution

The third proportional to 41,727 and 92,783 is: 206,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,727 : 92,783 = 92,783 : x
  2. Step 2: Convert to fraction form
    41,727/92,783 = 92,783/x
  3. Step 3: Cross multiply
    41,727x = 92,783 × 92,783
  4. Step 4: Simplify right side
    41,727x = 8,608,685,089
  5. Step 5: Solve for x
    x = 8,608,685,089/41,727
  6. Step 6: Final answer
    x = 206,309.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.