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Finding the Third Proportional to 50,795 and 109,150

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Solution

The third proportional to 50,795 and 109,150 is: 234,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,795 : 109,150 = 109,150 : x
  2. Step 2: Convert to fraction form
    50,795/109,150 = 109,150/x
  3. Step 3: Cross multiply
    50,795x = 109,150 × 109,150
  4. Step 4: Simplify right side
    50,795x = 11,913,722,500
  5. Step 5: Solve for x
    x = 11,913,722,500/50,795
  6. Step 6: Final answer
    x = 234,545.18

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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.