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Finding the Third Proportional to 37,075 and 81,531

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Solution

The third proportional to 37,075 and 81,531 is: 179,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,075 : 81,531 = 81,531 : x
  2. Step 2: Convert to fraction form
    37,075/81,531 = 81,531/x
  3. Step 3: Cross multiply
    37,075x = 81,531 × 81,531
  4. Step 4: Simplify right side
    37,075x = 6,647,303,961
  5. Step 5: Solve for x
    x = 6,647,303,961/37,075
  6. Step 6: Final answer
    x = 179,293.43

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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.