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Finding the Third Proportional to 67,018.50 and 100,198.50

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Solution

The third proportional to 67,018.50 and 100,198.50 is: 149,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,018.50 : 100,198.50 = 100,198.50 : x
  2. Step 2: Convert to fraction form
    67,018.50/100,198.50 = 100,198.50/x
  3. Step 3: Cross multiply
    67,018.50x = 100,198.50 × 100,198.50
  4. Step 4: Simplify right side
    67,018.50x = 10,039,739,402.25
  5. Step 5: Solve for x
    x = 10,039,739,402.25/67,018.50
  6. Step 6: Final answer
    x = 149,805.49

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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.