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Finding the Third Proportional to 53,950 and 110,042

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Solution

The third proportional to 53,950 and 110,042 is: 224,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,950 : 110,042 = 110,042 : x
  2. Step 2: Convert to fraction form
    53,950/110,042 = 110,042/x
  3. Step 3: Cross multiply
    53,950x = 110,042 × 110,042
  4. Step 4: Simplify right side
    53,950x = 12,109,241,764
  5. Step 5: Solve for x
    x = 12,109,241,764/53,950
  6. Step 6: Final answer
    x = 224,453.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.