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Finding the Third Proportional to 50,479 and 106,182

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Solution

The third proportional to 50,479 and 106,182 is: 223,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,479 : 106,182 = 106,182 : x
  2. Step 2: Convert to fraction form
    50,479/106,182 = 106,182/x
  3. Step 3: Cross multiply
    50,479x = 106,182 × 106,182
  4. Step 4: Simplify right side
    50,479x = 11,274,617,124
  5. Step 5: Solve for x
    x = 11,274,617,124/50,479
  6. Step 6: Final answer
    x = 223,352.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.