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Finding the Third Proportional to 49,920 and 75,204

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Solution

The third proportional to 49,920 and 75,204 is: 113,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,920 : 75,204 = 75,204 : x
  2. Step 2: Convert to fraction form
    49,920/75,204 = 75,204/x
  3. Step 3: Cross multiply
    49,920x = 75,204 × 75,204
  4. Step 4: Simplify right side
    49,920x = 5,655,641,616
  5. Step 5: Solve for x
    x = 5,655,641,616/49,920
  6. Step 6: Final answer
    x = 113,294.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.