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Finding the Third Proportional to 50,524 and 106,124

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Solution

The third proportional to 50,524 and 106,124 is: 222,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,524 : 106,124 = 106,124 : x
  2. Step 2: Convert to fraction form
    50,524/106,124 = 106,124/x
  3. Step 3: Cross multiply
    50,524x = 106,124 × 106,124
  4. Step 4: Simplify right side
    50,524x = 11,262,303,376
  5. Step 5: Solve for x
    x = 11,262,303,376/50,524
  6. Step 6: Final answer
    x = 222,909.97

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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.