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Finding the Third Proportional to 74,601 and 106,218

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Solution

The third proportional to 74,601 and 106,218 is: 151,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,601 : 106,218 = 106,218 : x
  2. Step 2: Convert to fraction form
    74,601/106,218 = 106,218/x
  3. Step 3: Cross multiply
    74,601x = 106,218 × 106,218
  4. Step 4: Simplify right side
    74,601x = 11,282,263,524
  5. Step 5: Solve for x
    x = 11,282,263,524/74,601
  6. Step 6: Final answer
    x = 151,234.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.