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Finding the Third Proportional to 50,306 and 104,737

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Solution

The third proportional to 50,306 and 104,737 is: 218,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,306 : 104,737 = 104,737 : x
  2. Step 2: Convert to fraction form
    50,306/104,737 = 104,737/x
  3. Step 3: Cross multiply
    50,306x = 104,737 × 104,737
  4. Step 4: Simplify right side
    50,306x = 10,969,839,169
  5. Step 5: Solve for x
    x = 10,969,839,169/50,306
  6. Step 6: Final answer
    x = 218,062.24

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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.