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Finding the Third Proportional to 50,501 and 106,225

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Solution

The third proportional to 50,501 and 106,225 is: 223,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,501 : 106,225 = 106,225 : x
  2. Step 2: Convert to fraction form
    50,501/106,225 = 106,225/x
  3. Step 3: Cross multiply
    50,501x = 106,225 × 106,225
  4. Step 4: Simplify right side
    50,501x = 11,283,750,625
  5. Step 5: Solve for x
    x = 11,283,750,625/50,501
  6. Step 6: Final answer
    x = 223,436.18

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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.