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Finding the Third Proportional to 73,950 and 115,851

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Solution

The third proportional to 73,950 and 115,851 is: 181,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,950 : 115,851 = 115,851 : x
  2. Step 2: Convert to fraction form
    73,950/115,851 = 115,851/x
  3. Step 3: Cross multiply
    73,950x = 115,851 × 115,851
  4. Step 4: Simplify right side
    73,950x = 13,421,454,201
  5. Step 5: Solve for x
    x = 13,421,454,201/73,950
  6. Step 6: Final answer
    x = 181,493.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.