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Finding the Third Proportional to 100,194 and 149,975

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Solution

The third proportional to 100,194 and 149,975 is: 224,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,194 : 149,975 = 149,975 : x
  2. Step 2: Convert to fraction form
    100,194/149,975 = 149,975/x
  3. Step 3: Cross multiply
    100,194x = 149,975 × 149,975
  4. Step 4: Simplify right side
    100,194x = 22,492,500,625
  5. Step 5: Solve for x
    x = 22,492,500,625/100,194
  6. Step 6: Final answer
    x = 224,489.50

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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.