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Finding the Third Proportional to 100,185 and 149,965.50

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Solution

The third proportional to 100,185 and 149,965.50 is: 224,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,185 : 149,965.50 = 149,965.50 : x
  2. Step 2: Convert to fraction form
    100,185/149,965.50 = 149,965.50/x
  3. Step 3: Cross multiply
    100,185x = 149,965.50 × 149,965.50
  4. Step 4: Simplify right side
    100,185x = 22,489,651,190.25
  5. Step 5: Solve for x
    x = 22,489,651,190.25/100,185
  6. Step 6: Final answer
    x = 224,481.22

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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.