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Finding the Third Proportional to 106,192 and 165,740

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Solution

The third proportional to 106,192 and 165,740 is: 258,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,192 : 165,740 = 165,740 : x
  2. Step 2: Convert to fraction form
    106,192/165,740 = 165,740/x
  3. Step 3: Cross multiply
    106,192x = 165,740 × 165,740
  4. Step 4: Simplify right side
    106,192x = 27,469,747,600
  5. Step 5: Solve for x
    x = 27,469,747,600/106,192
  6. Step 6: Final answer
    x = 258,680.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.