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Finding the Third Proportional to 53,720 and 117,067

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Solution

The third proportional to 53,720 and 117,067 is: 255,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,720 : 117,067 = 117,067 : x
  2. Step 2: Convert to fraction form
    53,720/117,067 = 117,067/x
  3. Step 3: Cross multiply
    53,720x = 117,067 × 117,067
  4. Step 4: Simplify right side
    53,720x = 13,704,682,489
  5. Step 5: Solve for x
    x = 13,704,682,489/53,720
  6. Step 6: Final answer
    x = 255,113.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.