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Finding the Third Proportional to 41,758 and 92,844

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Solution

The third proportional to 41,758 and 92,844 is: 206,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,758 : 92,844 = 92,844 : x
  2. Step 2: Convert to fraction form
    41,758/92,844 = 92,844/x
  3. Step 3: Cross multiply
    41,758x = 92,844 × 92,844
  4. Step 4: Simplify right side
    41,758x = 8,620,008,336
  5. Step 5: Solve for x
    x = 8,620,008,336/41,758
  6. Step 6: Final answer
    x = 206,427.71

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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.