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Finding the Third Proportional to 73,923 and 113,102

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Solution

The third proportional to 73,923 and 113,102 is: 173,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,923 : 113,102 = 113,102 : x
  2. Step 2: Convert to fraction form
    73,923/113,102 = 113,102/x
  3. Step 3: Cross multiply
    73,923x = 113,102 × 113,102
  4. Step 4: Simplify right side
    73,923x = 12,792,062,404
  5. Step 5: Solve for x
    x = 12,792,062,404/73,923
  6. Step 6: Final answer
    x = 173,045.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.