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Finding the Third Proportional to 52,842 and 110,049

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Solution

The third proportional to 52,842 and 110,049 is: 229,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,842 : 110,049 = 110,049 : x
  2. Step 2: Convert to fraction form
    52,842/110,049 = 110,049/x
  3. Step 3: Cross multiply
    52,842x = 110,049 × 110,049
  4. Step 4: Simplify right side
    52,842x = 12,110,782,401
  5. Step 5: Solve for x
    x = 12,110,782,401/52,842
  6. Step 6: Final answer
    x = 229,188.57

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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.