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Finding the Third Proportional to 53,856 and 110,324

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Solution

The third proportional to 53,856 and 110,324 is: 225,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856 : 110,324 = 110,324 : x
  2. Step 2: Convert to fraction form
    53,856/110,324 = 110,324/x
  3. Step 3: Cross multiply
    53,856x = 110,324 × 110,324
  4. Step 4: Simplify right side
    53,856x = 12,171,384,976
  5. Step 5: Solve for x
    x = 12,171,384,976/53,856
  6. Step 6: Final answer
    x = 225,998.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.