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Finding the Third Proportional to 115,910 and 179,379

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Solution

The third proportional to 115,910 and 179,379 is: 277,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,910 : 179,379 = 179,379 : x
  2. Step 2: Convert to fraction form
    115,910/179,379 = 179,379/x
  3. Step 3: Cross multiply
    115,910x = 179,379 × 179,379
  4. Step 4: Simplify right side
    115,910x = 32,176,825,641
  5. Step 5: Solve for x
    x = 32,176,825,641/115,910
  6. Step 6: Final answer
    x = 277,601.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.