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Finding the Third Proportional to 43,310 and 93,067

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Solution

The third proportional to 43,310 and 93,067 is: 199,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,310 : 93,067 = 93,067 : x
  2. Step 2: Convert to fraction form
    43,310/93,067 = 93,067/x
  3. Step 3: Cross multiply
    43,310x = 93,067 × 93,067
  4. Step 4: Simplify right side
    43,310x = 8,661,466,489
  5. Step 5: Solve for x
    x = 8,661,466,489/43,310
  6. Step 6: Final answer
    x = 199,987.68

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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.