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Finding the Third Proportional to 124,626.75 and 274,174.50

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Solution

The third proportional to 124,626.75 and 274,174.50 is: 603,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,626.75 : 274,174.50 = 274,174.50 : x
  2. Step 2: Convert to fraction form
    124,626.75/274,174.50 = 274,174.50/x
  3. Step 3: Cross multiply
    124,626.75x = 274,174.50 × 274,174.50
  4. Step 4: Simplify right side
    124,626.75x = 75,171,656,450.25
  5. Step 5: Solve for x
    x = 75,171,656,450.25/124,626.75
  6. Step 6: Final answer
    x = 603,174.33

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Why These Related Problems?

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