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Finding the Third Proportional to 49,864 and 107,656

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Solution

The third proportional to 49,864 and 107,656 is: 232,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,864 : 107,656 = 107,656 : x
  2. Step 2: Convert to fraction form
    49,864/107,656 = 107,656/x
  3. Step 3: Cross multiply
    49,864x = 107,656 × 107,656
  4. Step 4: Simplify right side
    49,864x = 11,589,814,336
  5. Step 5: Solve for x
    x = 11,589,814,336/49,864
  6. Step 6: Final answer
    x = 232,428.49

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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.