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Finding the Third Proportional to 106,800 and 154,692

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Solution

The third proportional to 106,800 and 154,692 is: 224,060.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,800 : 154,692 = 154,692 : x
  2. Step 2: Convert to fraction form
    106,800/154,692 = 154,692/x
  3. Step 3: Cross multiply
    106,800x = 154,692 × 154,692
  4. Step 4: Simplify right side
    106,800x = 23,929,614,864
  5. Step 5: Solve for x
    x = 23,929,614,864/106,800
  6. Step 6: Final answer
    x = 224,060.06

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.