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Finding the Third Proportional to 50,747 and 103,438

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Solution

The third proportional to 50,747 and 103,438 is: 210,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,747 : 103,438 = 103,438 : x
  2. Step 2: Convert to fraction form
    50,747/103,438 = 103,438/x
  3. Step 3: Cross multiply
    50,747x = 103,438 × 103,438
  4. Step 4: Simplify right side
    50,747x = 10,699,419,844
  5. Step 5: Solve for x
    x = 10,699,419,844/50,747
  6. Step 6: Final answer
    x = 210,838.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.