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Finding the Third Proportional to 41,233 and 90,485

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Solution

The third proportional to 41,233 and 90,485 is: 198,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,233 : 90,485 = 90,485 : x
  2. Step 2: Convert to fraction form
    41,233/90,485 = 90,485/x
  3. Step 3: Cross multiply
    41,233x = 90,485 × 90,485
  4. Step 4: Simplify right side
    41,233x = 8,187,535,225
  5. Step 5: Solve for x
    x = 8,187,535,225/41,233
  6. Step 6: Final answer
    x = 198,567.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.