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Finding the Third Proportional to 52,821 and 110,034

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Solution

The third proportional to 52,821 and 110,034 is: 229,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,821 : 110,034 = 110,034 : x
  2. Step 2: Convert to fraction form
    52,821/110,034 = 110,034/x
  3. Step 3: Cross multiply
    52,821x = 110,034 × 110,034
  4. Step 4: Simplify right side
    52,821x = 12,107,481,156
  5. Step 5: Solve for x
    x = 12,107,481,156/52,821
  6. Step 6: Final answer
    x = 229,217.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.