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Finding the Third Proportional to 50,722 and 109,252

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Solution

The third proportional to 50,722 and 109,252 is: 235,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,722 : 109,252 = 109,252 : x
  2. Step 2: Convert to fraction form
    50,722/109,252 = 109,252/x
  3. Step 3: Cross multiply
    50,722x = 109,252 × 109,252
  4. Step 4: Simplify right side
    50,722x = 11,935,999,504
  5. Step 5: Solve for x
    x = 11,935,999,504/50,722
  6. Step 6: Final answer
    x = 235,321.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.