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Finding the Third Proportional to 123,758 and 186,183

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Solution

The third proportional to 123,758 and 186,183 is: 280,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,758 : 186,183 = 186,183 : x
  2. Step 2: Convert to fraction form
    123,758/186,183 = 186,183/x
  3. Step 3: Cross multiply
    123,758x = 186,183 × 186,183
  4. Step 4: Simplify right side
    123,758x = 34,664,109,489
  5. Step 5: Solve for x
    x = 34,664,109,489/123,758
  6. Step 6: Final answer
    x = 280,095.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.