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Finding the Third Proportional to 49,677 and 96,855

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Solution

The third proportional to 49,677 and 96,855 is: 188,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,677 : 96,855 = 96,855 : x
  2. Step 2: Convert to fraction form
    49,677/96,855 = 96,855/x
  3. Step 3: Cross multiply
    49,677x = 96,855 × 96,855
  4. Step 4: Simplify right side
    49,677x = 9,380,891,025
  5. Step 5: Solve for x
    x = 9,380,891,025/49,677
  6. Step 6: Final answer
    x = 188,837.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.