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Finding the Third Proportional to 50,475 and 109,311

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Solution

The third proportional to 50,475 and 109,311 is: 236,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,475 : 109,311 = 109,311 : x
  2. Step 2: Convert to fraction form
    50,475/109,311 = 109,311/x
  3. Step 3: Cross multiply
    50,475x = 109,311 × 109,311
  4. Step 4: Simplify right side
    50,475x = 11,948,894,721
  5. Step 5: Solve for x
    x = 11,948,894,721/50,475
  6. Step 6: Final answer
    x = 236,728.97

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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.