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Finding the Third Proportional to 79,022 and 122,025

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Solution

The third proportional to 79,022 and 122,025 is: 188,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,022 : 122,025 = 122,025 : x
  2. Step 2: Convert to fraction form
    79,022/122,025 = 122,025/x
  3. Step 3: Cross multiply
    79,022x = 122,025 × 122,025
  4. Step 4: Simplify right side
    79,022x = 14,890,100,625
  5. Step 5: Solve for x
    x = 14,890,100,625/79,022
  6. Step 6: Final answer
    x = 188,429.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.