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Finding the Third Proportional to 111,788 and 166,163

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Solution

The third proportional to 111,788 and 166,163 is: 246,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,788 : 166,163 = 166,163 : x
  2. Step 2: Convert to fraction form
    111,788/166,163 = 166,163/x
  3. Step 3: Cross multiply
    111,788x = 166,163 × 166,163
  4. Step 4: Simplify right side
    111,788x = 27,610,142,569
  5. Step 5: Solve for x
    x = 27,610,142,569/111,788
  6. Step 6: Final answer
    x = 246,986.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.