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Finding the Third Proportional to 50,295 and 104,723

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Solution

The third proportional to 50,295 and 104,723 is: 218,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,295 : 104,723 = 104,723 : x
  2. Step 2: Convert to fraction form
    50,295/104,723 = 104,723/x
  3. Step 3: Cross multiply
    50,295x = 104,723 × 104,723
  4. Step 4: Simplify right side
    50,295x = 10,966,906,729
  5. Step 5: Solve for x
    x = 10,966,906,729/50,295
  6. Step 6: Final answer
    x = 218,051.63

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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.