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Finding the Third Proportional to 50,864 and 76,008

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Solution

The third proportional to 50,864 and 76,008 is: 113,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,864 : 76,008 = 76,008 : x
  2. Step 2: Convert to fraction form
    50,864/76,008 = 76,008/x
  3. Step 3: Cross multiply
    50,864x = 76,008 × 76,008
  4. Step 4: Simplify right side
    50,864x = 5,777,216,064
  5. Step 5: Solve for x
    x = 5,777,216,064/50,864
  6. Step 6: Final answer
    x = 113,581.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.