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Finding the Third Proportional to 50,148 and 106,794

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Solution

The third proportional to 50,148 and 106,794 is: 227,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,148 : 106,794 = 106,794 : x
  2. Step 2: Convert to fraction form
    50,148/106,794 = 106,794/x
  3. Step 3: Cross multiply
    50,148x = 106,794 × 106,794
  4. Step 4: Simplify right side
    50,148x = 11,404,958,436
  5. Step 5: Solve for x
    x = 11,404,958,436/50,148
  6. Step 6: Final answer
    x = 227,425.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.