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Finding the Third Proportional to 50,021 and 106,738

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Solution

The third proportional to 50,021 and 106,738 is: 227,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,021 : 106,738 = 106,738 : x
  2. Step 2: Convert to fraction form
    50,021/106,738 = 106,738/x
  3. Step 3: Cross multiply
    50,021x = 106,738 × 106,738
  4. Step 4: Simplify right side
    50,021x = 11,393,000,644
  5. Step 5: Solve for x
    x = 11,393,000,644/50,021
  6. Step 6: Final answer
    x = 227,764.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.