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Finding the Third Proportional to 50,525 and 106,126

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Solution

The third proportional to 50,525 and 106,126 is: 222,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,525 : 106,126 = 106,126 : x
  2. Step 2: Convert to fraction form
    50,525/106,126 = 106,126/x
  3. Step 3: Cross multiply
    50,525x = 106,126 × 106,126
  4. Step 4: Simplify right side
    50,525x = 11,262,727,876
  5. Step 5: Solve for x
    x = 11,262,727,876/50,525
  6. Step 6: Final answer
    x = 222,913.96

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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.