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Finding the Third Proportional to 50,498 and 106,322

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Solution

The third proportional to 50,498 and 106,322 is: 223,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498 : 106,322 = 106,322 : x
  2. Step 2: Convert to fraction form
    50,498/106,322 = 106,322/x
  3. Step 3: Cross multiply
    50,498x = 106,322 × 106,322
  4. Step 4: Simplify right side
    50,498x = 11,304,367,684
  5. Step 5: Solve for x
    x = 11,304,367,684/50,498
  6. Step 6: Final answer
    x = 223,857.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.