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Finding the Third Proportional to 50,954 and 73,394

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Solution

The third proportional to 50,954 and 73,394 is: 105,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,954 : 73,394 = 73,394 : x
  2. Step 2: Convert to fraction form
    50,954/73,394 = 73,394/x
  3. Step 3: Cross multiply
    50,954x = 73,394 × 73,394
  4. Step 4: Simplify right side
    50,954x = 5,386,679,236
  5. Step 5: Solve for x
    x = 5,386,679,236/50,954
  6. Step 6: Final answer
    x = 105,716.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.