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Finding the Third Proportional to 100,186 and 149,965

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Solution

The third proportional to 100,186 and 149,965 is: 224,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,186 : 149,965 = 149,965 : x
  2. Step 2: Convert to fraction form
    100,186/149,965 = 149,965/x
  3. Step 3: Cross multiply
    100,186x = 149,965 × 149,965
  4. Step 4: Simplify right side
    100,186x = 22,489,501,225
  5. Step 5: Solve for x
    x = 22,489,501,225/100,186
  6. Step 6: Final answer
    x = 224,477.48

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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.