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Finding the Third Proportional to 114,082 and 274,837

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Solution

The third proportional to 114,082 and 274,837 is: 662,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,082 : 274,837 = 274,837 : x
  2. Step 2: Convert to fraction form
    114,082/274,837 = 274,837/x
  3. Step 3: Cross multiply
    114,082x = 274,837 × 274,837
  4. Step 4: Simplify right side
    114,082x = 75,535,376,569
  5. Step 5: Solve for x
    x = 75,535,376,569/114,082
  6. Step 6: Final answer
    x = 662,114.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.