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Finding the Third Proportional to 50,997 and 110,466

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Solution

The third proportional to 50,997 and 110,466 is: 239,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,997 : 110,466 = 110,466 : x
  2. Step 2: Convert to fraction form
    50,997/110,466 = 110,466/x
  3. Step 3: Cross multiply
    50,997x = 110,466 × 110,466
  4. Step 4: Simplify right side
    50,997x = 12,202,737,156
  5. Step 5: Solve for x
    x = 12,202,737,156/50,997
  6. Step 6: Final answer
    x = 239,283.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.