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Finding the Third Proportional to 104,050 and 223,881

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Solution

The third proportional to 104,050 and 223,881 is: 481,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,050 : 223,881 = 223,881 : x
  2. Step 2: Convert to fraction form
    104,050/223,881 = 223,881/x
  3. Step 3: Cross multiply
    104,050x = 223,881 × 223,881
  4. Step 4: Simplify right side
    104,050x = 50,122,702,161
  5. Step 5: Solve for x
    x = 50,122,702,161/104,050
  6. Step 6: Final answer
    x = 481,717.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.