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Finding the Third Proportional to 53,821 and 110,331

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Solution

The third proportional to 53,821 and 110,331 is: 226,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,821 : 110,331 = 110,331 : x
  2. Step 2: Convert to fraction form
    53,821/110,331 = 110,331/x
  3. Step 3: Cross multiply
    53,821x = 110,331 × 110,331
  4. Step 4: Simplify right side
    53,821x = 12,172,929,561
  5. Step 5: Solve for x
    x = 12,172,929,561/53,821
  6. Step 6: Final answer
    x = 226,174.35

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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.