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Finding the Third Proportional to 100,872.50 and 151,744

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Solution

The third proportional to 100,872.50 and 151,744 is: 228,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,872.50 : 151,744 = 151,744 : x
  2. Step 2: Convert to fraction form
    100,872.50/151,744 = 151,744/x
  3. Step 3: Cross multiply
    100,872.50x = 151,744 × 151,744
  4. Step 4: Simplify right side
    100,872.50x = 23,026,241,536
  5. Step 5: Solve for x
    x = 23,026,241,536/100,872.50
  6. Step 6: Final answer
    x = 228,270.75

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