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Finding the Third Proportional to 50,489 and 106,201

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Solution

The third proportional to 50,489 and 106,201 is: 223,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,489 : 106,201 = 106,201 : x
  2. Step 2: Convert to fraction form
    50,489/106,201 = 106,201/x
  3. Step 3: Cross multiply
    50,489x = 106,201 × 106,201
  4. Step 4: Simplify right side
    50,489x = 11,278,652,401
  5. Step 5: Solve for x
    x = 11,278,652,401/50,489
  6. Step 6: Final answer
    x = 223,388.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.