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Finding the Third Proportional to 50,754 and 68,466

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Solution

The third proportional to 50,754 and 68,466 is: 92,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,754 : 68,466 = 68,466 : x
  2. Step 2: Convert to fraction form
    50,754/68,466 = 68,466/x
  3. Step 3: Cross multiply
    50,754x = 68,466 × 68,466
  4. Step 4: Simplify right side
    50,754x = 4,687,593,156
  5. Step 5: Solve for x
    x = 4,687,593,156/50,754
  6. Step 6: Final answer
    x = 92,359.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.