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Finding the Third Proportional to 48,992 and 75,698

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Solution

The third proportional to 48,992 and 75,698 is: 116,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,992 : 75,698 = 75,698 : x
  2. Step 2: Convert to fraction form
    48,992/75,698 = 75,698/x
  3. Step 3: Cross multiply
    48,992x = 75,698 × 75,698
  4. Step 4: Simplify right side
    48,992x = 5,730,187,204
  5. Step 5: Solve for x
    x = 5,730,187,204/48,992
  6. Step 6: Final answer
    x = 116,961.69

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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.