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Finding the Third Proportional to 44,084.50 and 104,049

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Solution

The third proportional to 44,084.50 and 104,049 is: 245,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,084.50 : 104,049 = 104,049 : x
  2. Step 2: Convert to fraction form
    44,084.50/104,049 = 104,049/x
  3. Step 3: Cross multiply
    44,084.50x = 104,049 × 104,049
  4. Step 4: Simplify right side
    44,084.50x = 10,826,194,401
  5. Step 5: Solve for x
    x = 10,826,194,401/44,084.50
  6. Step 6: Final answer
    x = 245,578.25

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.