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Finding the Third Proportional to 111,704 and 239,176

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Solution

The third proportional to 111,704 and 239,176 is: 512,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,704 : 239,176 = 239,176 : x
  2. Step 2: Convert to fraction form
    111,704/239,176 = 239,176/x
  3. Step 3: Cross multiply
    111,704x = 239,176 × 239,176
  4. Step 4: Simplify right side
    111,704x = 57,205,158,976
  5. Step 5: Solve for x
    x = 57,205,158,976/111,704
  6. Step 6: Final answer
    x = 512,113.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.