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Finding the Third Proportional to 106,442 and 177,396

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Solution

The third proportional to 106,442 and 177,396 is: 295,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,442 : 177,396 = 177,396 : x
  2. Step 2: Convert to fraction form
    106,442/177,396 = 177,396/x
  3. Step 3: Cross multiply
    106,442x = 177,396 × 177,396
  4. Step 4: Simplify right side
    106,442x = 31,469,340,816
  5. Step 5: Solve for x
    x = 31,469,340,816/106,442
  6. Step 6: Final answer
    x = 295,647.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.