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Finding the Third Proportional to 139,082 and 188,930

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Solution

The third proportional to 139,082 and 188,930 is: 256,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,082 : 188,930 = 188,930 : x
  2. Step 2: Convert to fraction form
    139,082/188,930 = 188,930/x
  3. Step 3: Cross multiply
    139,082x = 188,930 × 188,930
  4. Step 4: Simplify right side
    139,082x = 35,694,544,900
  5. Step 5: Solve for x
    x = 35,694,544,900/139,082
  6. Step 6: Final answer
    x = 256,643.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.