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Finding the Third Proportional to 50,106 and 109,443

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Solution

The third proportional to 50,106 and 109,443 is: 239,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,106 : 109,443 = 109,443 : x
  2. Step 2: Convert to fraction form
    50,106/109,443 = 109,443/x
  3. Step 3: Cross multiply
    50,106x = 109,443 × 109,443
  4. Step 4: Simplify right side
    50,106x = 11,977,770,249
  5. Step 5: Solve for x
    x = 11,977,770,249/50,106
  6. Step 6: Final answer
    x = 239,048.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.