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Finding the Third Proportional to 50,137 and 111,481

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Solution

The third proportional to 50,137 and 111,481 is: 247,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,137 : 111,481 = 111,481 : x
  2. Step 2: Convert to fraction form
    50,137/111,481 = 111,481/x
  3. Step 3: Cross multiply
    50,137x = 111,481 × 111,481
  4. Step 4: Simplify right side
    50,137x = 12,428,013,361
  5. Step 5: Solve for x
    x = 12,428,013,361/50,137
  6. Step 6: Final answer
    x = 247,881.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.