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Finding the Third Proportional to 50,973 and 104,214

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Solution

The third proportional to 50,973 and 104,214 is: 213,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,973 : 104,214 = 104,214 : x
  2. Step 2: Convert to fraction form
    50,973/104,214 = 104,214/x
  3. Step 3: Cross multiply
    50,973x = 104,214 × 104,214
  4. Step 4: Simplify right side
    50,973x = 10,860,557,796
  5. Step 5: Solve for x
    x = 10,860,557,796/50,973
  6. Step 6: Final answer
    x = 213,064.91

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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.