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Finding the Third Proportional to 101,044.69 and 140,493.09

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Solution

The third proportional to 101,044.69 and 140,493.09 is: 195,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,044.69 : 140,493.09 = 140,493.09 : x
  2. Step 2: Convert to fraction form
    101,044.69/140,493.09 = 140,493.09/x
  3. Step 3: Cross multiply
    101,044.69x = 140,493.09 × 140,493.09
  4. Step 4: Simplify right side
    101,044.69x = 19,738,309,391.45
  5. Step 5: Solve for x
    x = 19,738,309,391.45/101,044.69
  6. Step 6: Final answer
    x = 195,342.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.