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Finding the Third Proportional to 44,082 and 103,974.75

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Solution

The third proportional to 44,082 and 103,974.75 is: 245,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,082 : 103,974.75 = 103,974.75 : x
  2. Step 2: Convert to fraction form
    44,082/103,974.75 = 103,974.75/x
  3. Step 3: Cross multiply
    44,082x = 103,974.75 × 103,974.75
  4. Step 4: Simplify right side
    44,082x = 10,810,748,637.56
  5. Step 5: Solve for x
    x = 10,810,748,637.56/44,082
  6. Step 6: Final answer
    x = 245,241.79

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Why These Related Problems?

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