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Finding the Third Proportional to 76,079 and 154,462

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Solution

The third proportional to 76,079 and 154,462 is: 313,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,079 : 154,462 = 154,462 : x
  2. Step 2: Convert to fraction form
    76,079/154,462 = 154,462/x
  3. Step 3: Cross multiply
    76,079x = 154,462 × 154,462
  4. Step 4: Simplify right side
    76,079x = 23,858,509,444
  5. Step 5: Solve for x
    x = 23,858,509,444/76,079
  6. Step 6: Final answer
    x = 313,601.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.