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Finding the Third Proportional to 48,962 and 105,698

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Solution

The third proportional to 48,962 and 105,698 is: 228,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,962 : 105,698 = 105,698 : x
  2. Step 2: Convert to fraction form
    48,962/105,698 = 105,698/x
  3. Step 3: Cross multiply
    48,962x = 105,698 × 105,698
  4. Step 4: Simplify right side
    48,962x = 11,172,067,204
  5. Step 5: Solve for x
    x = 11,172,067,204/48,962
  6. Step 6: Final answer
    x = 228,178.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.