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Finding the Third Proportional to 50,002 and 108,481

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Solution

The third proportional to 50,002 and 108,481 is: 235,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,002 : 108,481 = 108,481 : x
  2. Step 2: Convert to fraction form
    50,002/108,481 = 108,481/x
  3. Step 3: Cross multiply
    50,002x = 108,481 × 108,481
  4. Step 4: Simplify right side
    50,002x = 11,768,127,361
  5. Step 5: Solve for x
    x = 11,768,127,361/50,002
  6. Step 6: Final answer
    x = 235,353.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.