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Finding the Third Proportional to 50,810 and 68,540

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Solution

The third proportional to 50,810 and 68,540 is: 92,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,810 : 68,540 = 68,540 : x
  2. Step 2: Convert to fraction form
    50,810/68,540 = 68,540/x
  3. Step 3: Cross multiply
    50,810x = 68,540 × 68,540
  4. Step 4: Simplify right side
    50,810x = 4,697,731,600
  5. Step 5: Solve for x
    x = 4,697,731,600/50,810
  6. Step 6: Final answer
    x = 92,456.83

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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.