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Finding the Third Proportional to 50,393 and 82,151

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Solution

The third proportional to 50,393 and 82,151 is: 133,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,393 : 82,151 = 82,151 : x
  2. Step 2: Convert to fraction form
    50,393/82,151 = 82,151/x
  3. Step 3: Cross multiply
    50,393x = 82,151 × 82,151
  4. Step 4: Simplify right side
    50,393x = 6,748,786,801
  5. Step 5: Solve for x
    x = 6,748,786,801/50,393
  6. Step 6: Final answer
    x = 133,923.10

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.