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Finding the Third Proportional to 44,162 and 66,075

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Solution

The third proportional to 44,162 and 66,075 is: 98,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,162 : 66,075 = 66,075 : x
  2. Step 2: Convert to fraction form
    44,162/66,075 = 66,075/x
  3. Step 3: Cross multiply
    44,162x = 66,075 × 66,075
  4. Step 4: Simplify right side
    44,162x = 4,365,905,625
  5. Step 5: Solve for x
    x = 4,365,905,625/44,162
  6. Step 6: Final answer
    x = 98,861.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.