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Finding the Third Proportional to 41,493 and 91,050

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Solution

The third proportional to 41,493 and 91,050 is: 199,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,493 : 91,050 = 91,050 : x
  2. Step 2: Convert to fraction form
    41,493/91,050 = 91,050/x
  3. Step 3: Cross multiply
    41,493x = 91,050 × 91,050
  4. Step 4: Simplify right side
    41,493x = 8,290,102,500
  5. Step 5: Solve for x
    x = 8,290,102,500/41,493
  6. Step 6: Final answer
    x = 199,795.21

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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.