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Finding the Third Proportional to 112,060.97 and 239,977.69

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Solution

The third proportional to 112,060.97 and 239,977.69 is: 513,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,060.97 : 239,977.69 = 239,977.69 : x
  2. Step 2: Convert to fraction form
    112,060.97/239,977.69 = 239,977.69/x
  3. Step 3: Cross multiply
    112,060.97x = 239,977.69 × 239,977.69
  4. Step 4: Simplify right side
    112,060.97x = 57,589,290,497.85
  5. Step 5: Solve for x
    x = 57,589,290,497.85/112,060.97
  6. Step 6: Final answer
    x = 513,910.34

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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.