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Finding the Third Proportional to 100,184 and 149,962

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Solution

The third proportional to 100,184 and 149,962 is: 224,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,184 : 149,962 = 149,962 : x
  2. Step 2: Convert to fraction form
    100,184/149,962 = 149,962/x
  3. Step 3: Cross multiply
    100,184x = 149,962 × 149,962
  4. Step 4: Simplify right side
    100,184x = 22,488,601,444
  5. Step 5: Solve for x
    x = 22,488,601,444/100,184
  6. Step 6: Final answer
    x = 224,472.98

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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.