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Finding the Third Proportional to 53,966 and 80,394

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Solution

The third proportional to 53,966 and 80,394 is: 119,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,966 : 80,394 = 80,394 : x
  2. Step 2: Convert to fraction form
    53,966/80,394 = 80,394/x
  3. Step 3: Cross multiply
    53,966x = 80,394 × 80,394
  4. Step 4: Simplify right side
    53,966x = 6,463,195,236
  5. Step 5: Solve for x
    x = 6,463,195,236/53,966
  6. Step 6: Final answer
    x = 119,764.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.