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Finding the Third Proportional to 56,700 and 122,067

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Solution

The third proportional to 56,700 and 122,067 is: 262,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,700 : 122,067 = 122,067 : x
  2. Step 2: Convert to fraction form
    56,700/122,067 = 122,067/x
  3. Step 3: Cross multiply
    56,700x = 122,067 × 122,067
  4. Step 4: Simplify right side
    56,700x = 14,900,352,489
  5. Step 5: Solve for x
    x = 14,900,352,489/56,700
  6. Step 6: Final answer
    x = 262,792.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.