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Finding the Third Proportional to 84,918 and 179,950

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Solution

The third proportional to 84,918 and 179,950 is: 381,332.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,918 : 179,950 = 179,950 : x
  2. Step 2: Convert to fraction form
    84,918/179,950 = 179,950/x
  3. Step 3: Cross multiply
    84,918x = 179,950 × 179,950
  4. Step 4: Simplify right side
    84,918x = 32,382,002,500
  5. Step 5: Solve for x
    x = 32,382,002,500/84,918
  6. Step 6: Final answer
    x = 381,332.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.