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Finding the Third Proportional to 53,405 and 126,067

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Solution

The third proportional to 53,405 and 126,067 is: 297,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,405 : 126,067 = 126,067 : x
  2. Step 2: Convert to fraction form
    53,405/126,067 = 126,067/x
  3. Step 3: Cross multiply
    53,405x = 126,067 × 126,067
  4. Step 4: Simplify right side
    53,405x = 15,892,888,489
  5. Step 5: Solve for x
    x = 15,892,888,489/53,405
  6. Step 6: Final answer
    x = 297,591.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.