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Finding the Third Proportional to 50,220 and 104,607

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Solution

The third proportional to 50,220 and 104,607 is: 217,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,220 : 104,607 = 104,607 : x
  2. Step 2: Convert to fraction form
    50,220/104,607 = 104,607/x
  3. Step 3: Cross multiply
    50,220x = 104,607 × 104,607
  4. Step 4: Simplify right side
    50,220x = 10,942,624,449
  5. Step 5: Solve for x
    x = 10,942,624,449/50,220
  6. Step 6: Final answer
    x = 217,893.76

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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.