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Finding the Third Proportional to 106,922 and 168,177

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Solution

The third proportional to 106,922 and 168,177 is: 264,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,922 : 168,177 = 168,177 : x
  2. Step 2: Convert to fraction form
    106,922/168,177 = 168,177/x
  3. Step 3: Cross multiply
    106,922x = 168,177 × 168,177
  4. Step 4: Simplify right side
    106,922x = 28,283,503,329
  5. Step 5: Solve for x
    x = 28,283,503,329/106,922
  6. Step 6: Final answer
    x = 264,524.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.