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Finding the Third Proportional to 50,204 and 110,114

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Solution

The third proportional to 50,204 and 110,114 is: 241,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,204 : 110,114 = 110,114 : x
  2. Step 2: Convert to fraction form
    50,204/110,114 = 110,114/x
  3. Step 3: Cross multiply
    50,204x = 110,114 × 110,114
  4. Step 4: Simplify right side
    50,204x = 12,125,092,996
  5. Step 5: Solve for x
    x = 12,125,092,996/50,204
  6. Step 6: Final answer
    x = 241,516.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.