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Finding the Third Proportional to 107,936 and 229,025

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Solution

The third proportional to 107,936 and 229,025 is: 485,958.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,936 : 229,025 = 229,025 : x
  2. Step 2: Convert to fraction form
    107,936/229,025 = 229,025/x
  3. Step 3: Cross multiply
    107,936x = 229,025 × 229,025
  4. Step 4: Simplify right side
    107,936x = 52,452,450,625
  5. Step 5: Solve for x
    x = 52,452,450,625/107,936
  6. Step 6: Final answer
    x = 485,958.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.