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Finding the Third Proportional to 74,462 and 151,084

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Solution

The third proportional to 74,462 and 151,084 is: 306,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,462 : 151,084 = 151,084 : x
  2. Step 2: Convert to fraction form
    74,462/151,084 = 151,084/x
  3. Step 3: Cross multiply
    74,462x = 151,084 × 151,084
  4. Step 4: Simplify right side
    74,462x = 22,826,375,056
  5. Step 5: Solve for x
    x = 22,826,375,056/74,462
  6. Step 6: Final answer
    x = 306,550.66

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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.