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Finding the Third Proportional to 70,183.97 and 107,986.78

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Solution

The third proportional to 70,183.97 and 107,986.78 is: 166,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,183.97 : 107,986.78 = 107,986.78 : x
  2. Step 2: Convert to fraction form
    70,183.97/107,986.78 = 107,986.78/x
  3. Step 3: Cross multiply
    70,183.97x = 107,986.78 × 107,986.78
  4. Step 4: Simplify right side
    70,183.97x = 11,661,144,924.74
  5. Step 5: Solve for x
    x = 11,661,144,924.74/70,183.97
  6. Step 6: Final answer
    x = 166,151.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.