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Finding the Third Proportional to 48,519 and 75,384

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Solution

The third proportional to 48,519 and 75,384 is: 117,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,519 : 75,384 = 75,384 : x
  2. Step 2: Convert to fraction form
    48,519/75,384 = 75,384/x
  3. Step 3: Cross multiply
    48,519x = 75,384 × 75,384
  4. Step 4: Simplify right side
    48,519x = 5,682,747,456
  5. Step 5: Solve for x
    x = 5,682,747,456/48,519
  6. Step 6: Final answer
    x = 117,124.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.