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Finding the Third Proportional to 49,924 and 107,856

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Solution

The third proportional to 49,924 and 107,856 is: 233,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,924 : 107,856 = 107,856 : x
  2. Step 2: Convert to fraction form
    49,924/107,856 = 107,856/x
  3. Step 3: Cross multiply
    49,924x = 107,856 × 107,856
  4. Step 4: Simplify right side
    49,924x = 11,632,916,736
  5. Step 5: Solve for x
    x = 11,632,916,736/49,924
  6. Step 6: Final answer
    x = 233,012.51

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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.