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Finding the Third Proportional to 50,418 and 104,985

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Solution

The third proportional to 50,418 and 104,985 is: 218,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,418 : 104,985 = 104,985 : x
  2. Step 2: Convert to fraction form
    50,418/104,985 = 104,985/x
  3. Step 3: Cross multiply
    50,418x = 104,985 × 104,985
  4. Step 4: Simplify right side
    50,418x = 11,021,850,225
  5. Step 5: Solve for x
    x = 11,021,850,225/50,418
  6. Step 6: Final answer
    x = 218,609.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.