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Finding the Third Proportional to 50,980 and 111,176

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Solution

The third proportional to 50,980 and 111,176 is: 242,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,980 : 111,176 = 111,176 : x
  2. Step 2: Convert to fraction form
    50,980/111,176 = 111,176/x
  3. Step 3: Cross multiply
    50,980x = 111,176 × 111,176
  4. Step 4: Simplify right side
    50,980x = 12,360,102,976
  5. Step 5: Solve for x
    x = 12,360,102,976/50,980
  6. Step 6: Final answer
    x = 242,450.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.