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Finding the Third Proportional to 50,322 and 103,884

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Solution

The third proportional to 50,322 and 103,884 is: 214,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,322 : 103,884 = 103,884 : x
  2. Step 2: Convert to fraction form
    50,322/103,884 = 103,884/x
  3. Step 3: Cross multiply
    50,322x = 103,884 × 103,884
  4. Step 4: Simplify right side
    50,322x = 10,791,885,456
  5. Step 5: Solve for x
    x = 10,791,885,456/50,322
  6. Step 6: Final answer
    x = 214,456.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.