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Finding the Third Proportional to 65,770 and 93,067

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Solution

The third proportional to 65,770 and 93,067 is: 131,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,770 : 93,067 = 93,067 : x
  2. Step 2: Convert to fraction form
    65,770/93,067 = 93,067/x
  3. Step 3: Cross multiply
    65,770x = 93,067 × 93,067
  4. Step 4: Simplify right side
    65,770x = 8,661,466,489
  5. Step 5: Solve for x
    x = 8,661,466,489/65,770
  6. Step 6: Final answer
    x = 131,693.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.