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Finding the Third Proportional to 50,692 and 113,042

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Solution

The third proportional to 50,692 and 113,042 is: 252,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,692 : 113,042 = 113,042 : x
  2. Step 2: Convert to fraction form
    50,692/113,042 = 113,042/x
  3. Step 3: Cross multiply
    50,692x = 113,042 × 113,042
  4. Step 4: Simplify right side
    50,692x = 12,778,493,764
  5. Step 5: Solve for x
    x = 12,778,493,764/50,692
  6. Step 6: Final answer
    x = 252,081.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.