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Finding the Third Proportional to 80,182 and 173,075

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Solution

The third proportional to 80,182 and 173,075 is: 373,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,182 : 173,075 = 173,075 : x
  2. Step 2: Convert to fraction form
    80,182/173,075 = 173,075/x
  3. Step 3: Cross multiply
    80,182x = 173,075 × 173,075
  4. Step 4: Simplify right side
    80,182x = 29,954,955,625
  5. Step 5: Solve for x
    x = 29,954,955,625/80,182
  6. Step 6: Final answer
    x = 373,587.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.