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Finding the Third Proportional to 53,858 and 110,398

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Solution

The third proportional to 53,858 and 110,398 is: 226,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858 : 110,398 = 110,398 : x
  2. Step 2: Convert to fraction form
    53,858/110,398 = 110,398/x
  3. Step 3: Cross multiply
    53,858x = 110,398 × 110,398
  4. Step 4: Simplify right side
    53,858x = 12,187,718,404
  5. Step 5: Solve for x
    x = 12,187,718,404/53,858
  6. Step 6: Final answer
    x = 226,293.56

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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.