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Finding the Third Proportional to 50,514 and 106,353

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Solution

The third proportional to 50,514 and 106,353 is: 223,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,514 : 106,353 = 106,353 : x
  2. Step 2: Convert to fraction form
    50,514/106,353 = 106,353/x
  3. Step 3: Cross multiply
    50,514x = 106,353 × 106,353
  4. Step 4: Simplify right side
    50,514x = 11,310,960,609
  5. Step 5: Solve for x
    x = 11,310,960,609/50,514
  6. Step 6: Final answer
    x = 223,917.34

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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.