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Finding the Third Proportional to 41,823 and 91,962

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Solution

The third proportional to 41,823 and 91,962 is: 202,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,823 : 91,962 = 91,962 : x
  2. Step 2: Convert to fraction form
    41,823/91,962 = 91,962/x
  3. Step 3: Cross multiply
    41,823x = 91,962 × 91,962
  4. Step 4: Simplify right side
    41,823x = 8,457,009,444
  5. Step 5: Solve for x
    x = 8,457,009,444/41,823
  6. Step 6: Final answer
    x = 202,209.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.