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Finding the Third Proportional to 76,568 and 122,924

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Solution

The third proportional to 76,568 and 122,924 is: 197,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,568 : 122,924 = 122,924 : x
  2. Step 2: Convert to fraction form
    76,568/122,924 = 122,924/x
  3. Step 3: Cross multiply
    76,568x = 122,924 × 122,924
  4. Step 4: Simplify right side
    76,568x = 15,110,309,776
  5. Step 5: Solve for x
    x = 15,110,309,776/76,568
  6. Step 6: Final answer
    x = 197,344.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.