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Finding the Third Proportional to 73,924 and 113,104

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Solution

The third proportional to 73,924 and 113,104 is: 173,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,924 : 113,104 = 113,104 : x
  2. Step 2: Convert to fraction form
    73,924/113,104 = 113,104/x
  3. Step 3: Cross multiply
    73,924x = 113,104 × 113,104
  4. Step 4: Simplify right side
    73,924x = 12,792,514,816
  5. Step 5: Solve for x
    x = 12,792,514,816/73,924
  6. Step 6: Final answer
    x = 173,049.55

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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.