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Finding the Third Proportional to 48,424 and 76,092

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Solution

The third proportional to 48,424 and 76,092 is: 119,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,424 : 76,092 = 76,092 : x
  2. Step 2: Convert to fraction form
    48,424/76,092 = 76,092/x
  3. Step 3: Cross multiply
    48,424x = 76,092 × 76,092
  4. Step 4: Simplify right side
    48,424x = 5,789,992,464
  5. Step 5: Solve for x
    x = 5,789,992,464/48,424
  6. Step 6: Final answer
    x = 119,568.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.