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Finding the Third Proportional to 104,002 and 224,610

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Solution

The third proportional to 104,002 and 224,610 is: 485,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,002 : 224,610 = 224,610 : x
  2. Step 2: Convert to fraction form
    104,002/224,610 = 224,610/x
  3. Step 3: Cross multiply
    104,002x = 224,610 × 224,610
  4. Step 4: Simplify right side
    104,002x = 50,449,652,100
  5. Step 5: Solve for x
    x = 50,449,652,100/104,002
  6. Step 6: Final answer
    x = 485,083.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.