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Finding the Third Proportional to 50,137 and 108,434

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Solution

The third proportional to 50,137 and 108,434 is: 234,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,137 : 108,434 = 108,434 : x
  2. Step 2: Convert to fraction form
    50,137/108,434 = 108,434/x
  3. Step 3: Cross multiply
    50,137x = 108,434 × 108,434
  4. Step 4: Simplify right side
    50,137x = 11,757,932,356
  5. Step 5: Solve for x
    x = 11,757,932,356/50,137
  6. Step 6: Final answer
    x = 234,516.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.