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Finding the Third Proportional to 50,247 and 108,270

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Solution

The third proportional to 50,247 and 108,270 is: 233,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,247 : 108,270 = 108,270 : x
  2. Step 2: Convert to fraction form
    50,247/108,270 = 108,270/x
  3. Step 3: Cross multiply
    50,247x = 108,270 × 108,270
  4. Step 4: Simplify right side
    50,247x = 11,722,392,900
  5. Step 5: Solve for x
    x = 11,722,392,900/50,247
  6. Step 6: Final answer
    x = 233,295.38

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