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Finding the Third Proportional to 41,296 and 90,501

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Solution

The third proportional to 41,296 and 90,501 is: 198,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,296 : 90,501 = 90,501 : x
  2. Step 2: Convert to fraction form
    41,296/90,501 = 90,501/x
  3. Step 3: Cross multiply
    41,296x = 90,501 × 90,501
  4. Step 4: Simplify right side
    41,296x = 8,190,431,001
  5. Step 5: Solve for x
    x = 8,190,431,001/41,296
  6. Step 6: Final answer
    x = 198,334.73

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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.