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Finding the Third Proportional to 124,626 and 274,162

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Solution

The third proportional to 124,626 and 274,162 is: 603,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,626 : 274,162 = 274,162 : x
  2. Step 2: Convert to fraction form
    124,626/274,162 = 274,162/x
  3. Step 3: Cross multiply
    124,626x = 274,162 × 274,162
  4. Step 4: Simplify right side
    124,626x = 75,164,802,244
  5. Step 5: Solve for x
    x = 75,164,802,244/124,626
  6. Step 6: Final answer
    x = 603,122.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.