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Finding the Third Proportional to 52,082 and 112,075

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Solution

The third proportional to 52,082 and 112,075 is: 241,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,082 : 112,075 = 112,075 : x
  2. Step 2: Convert to fraction form
    52,082/112,075 = 112,075/x
  3. Step 3: Cross multiply
    52,082x = 112,075 × 112,075
  4. Step 4: Simplify right side
    52,082x = 12,560,805,625
  5. Step 5: Solve for x
    x = 12,560,805,625/52,082
  6. Step 6: Final answer
    x = 241,173.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.