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Finding the Third Proportional to 50,138 and 107,188

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Solution

The third proportional to 50,138 and 107,188 is: 229,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,138 : 107,188 = 107,188 : x
  2. Step 2: Convert to fraction form
    50,138/107,188 = 107,188/x
  3. Step 3: Cross multiply
    50,138x = 107,188 × 107,188
  4. Step 4: Simplify right side
    50,138x = 11,489,267,344
  5. Step 5: Solve for x
    x = 11,489,267,344/50,138
  6. Step 6: Final answer
    x = 229,152.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.