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Finding the Third Proportional to 100,138 and 149,894

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Solution

The third proportional to 100,138 and 149,894 is: 224,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,138 : 149,894 = 149,894 : x
  2. Step 2: Convert to fraction form
    100,138/149,894 = 149,894/x
  3. Step 3: Cross multiply
    100,138x = 149,894 × 149,894
  4. Step 4: Simplify right side
    100,138x = 22,468,211,236
  5. Step 5: Solve for x
    x = 22,468,211,236/100,138
  6. Step 6: Final answer
    x = 224,372.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.