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Finding the Third Proportional to 41,889 and 91,050

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Solution

The third proportional to 41,889 and 91,050 is: 197,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,889 : 91,050 = 91,050 : x
  2. Step 2: Convert to fraction form
    41,889/91,050 = 91,050/x
  3. Step 3: Cross multiply
    41,889x = 91,050 × 91,050
  4. Step 4: Simplify right side
    41,889x = 8,290,102,500
  5. Step 5: Solve for x
    x = 8,290,102,500/41,889
  6. Step 6: Final answer
    x = 197,906.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.