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Finding the Third Proportional to 111,792 and 166,169

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Solution

The third proportional to 111,792 and 166,169 is: 246,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,792 : 166,169 = 166,169 : x
  2. Step 2: Convert to fraction form
    111,792/166,169 = 166,169/x
  3. Step 3: Cross multiply
    111,792x = 166,169 × 166,169
  4. Step 4: Simplify right side
    111,792x = 27,612,136,561
  5. Step 5: Solve for x
    x = 27,612,136,561/111,792
  6. Step 6: Final answer
    x = 246,995.64

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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.