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Finding the Third Proportional to 66,982.50 and 100,401.75

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Solution

The third proportional to 66,982.50 and 100,401.75 is: 150,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,982.50 : 100,401.75 = 100,401.75 : x
  2. Step 2: Convert to fraction form
    66,982.50/100,401.75 = 100,401.75/x
  3. Step 3: Cross multiply
    66,982.50x = 100,401.75 × 100,401.75
  4. Step 4: Simplify right side
    66,982.50x = 10,080,511,403.06
  5. Step 5: Solve for x
    x = 10,080,511,403.06/66,982.50
  6. Step 6: Final answer
    x = 150,494.70

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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.