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Finding the Third Proportional to 75,424.31 and 157,105.69

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Solution

The third proportional to 75,424.31 and 157,105.69 is: 327,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,424.31 : 157,105.69 = 157,105.69 : x
  2. Step 2: Convert to fraction form
    75,424.31/157,105.69 = 157,105.69/x
  3. Step 3: Cross multiply
    75,424.31x = 157,105.69 × 157,105.69
  4. Step 4: Simplify right side
    75,424.31x = 24,682,197,044.85
  5. Step 5: Solve for x
    x = 24,682,197,044.85/75,424.31
  6. Step 6: Final answer
    x = 327,244.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.