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Finding the Third Proportional to 106,836 and 154,742

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Solution

The third proportional to 106,836 and 154,742 is: 224,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,836 : 154,742 = 154,742 : x
  2. Step 2: Convert to fraction form
    106,836/154,742 = 154,742/x
  3. Step 3: Cross multiply
    106,836x = 154,742 × 154,742
  4. Step 4: Simplify right side
    106,836x = 23,945,086,564
  5. Step 5: Solve for x
    x = 23,945,086,564/106,836
  6. Step 6: Final answer
    x = 224,129.38

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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.