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Finding the Third Proportional to 41,028 and 90,075

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Solution

The third proportional to 41,028 and 90,075 is: 197,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,028 : 90,075 = 90,075 : x
  2. Step 2: Convert to fraction form
    41,028/90,075 = 90,075/x
  3. Step 3: Cross multiply
    41,028x = 90,075 × 90,075
  4. Step 4: Simplify right side
    41,028x = 8,113,505,625
  5. Step 5: Solve for x
    x = 8,113,505,625/41,028
  6. Step 6: Final answer
    x = 197,755.33

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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.