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Finding the Third Proportional to 106,170 and 154,872

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Solution

The third proportional to 106,170 and 154,872 is: 225,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,170 : 154,872 = 154,872 : x
  2. Step 2: Convert to fraction form
    106,170/154,872 = 154,872/x
  3. Step 3: Cross multiply
    106,170x = 154,872 × 154,872
  4. Step 4: Simplify right side
    106,170x = 23,985,336,384
  5. Step 5: Solve for x
    x = 23,985,336,384/106,170
  6. Step 6: Final answer
    x = 225,914.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.