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Finding the Third Proportional to 52,540 and 80,381

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Solution

The third proportional to 52,540 and 80,381 is: 122,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,540 : 80,381 = 80,381 : x
  2. Step 2: Convert to fraction form
    52,540/80,381 = 80,381/x
  3. Step 3: Cross multiply
    52,540x = 80,381 × 80,381
  4. Step 4: Simplify right side
    52,540x = 6,461,105,161
  5. Step 5: Solve for x
    x = 6,461,105,161/52,540
  6. Step 6: Final answer
    x = 122,974.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.