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Finding the Third Proportional to 50,259 and 109,266

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Solution

The third proportional to 50,259 and 109,266 is: 237,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,259 : 109,266 = 109,266 : x
  2. Step 2: Convert to fraction form
    50,259/109,266 = 109,266/x
  3. Step 3: Cross multiply
    50,259x = 109,266 × 109,266
  4. Step 4: Simplify right side
    50,259x = 11,939,058,756
  5. Step 5: Solve for x
    x = 11,939,058,756/50,259
  6. Step 6: Final answer
    x = 237,550.66

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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.