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Finding the Third Proportional to 79,062 and 122,085

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Solution

The third proportional to 79,062 and 122,085 is: 188,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,062 : 122,085 = 122,085 : x
  2. Step 2: Convert to fraction form
    79,062/122,085 = 122,085/x
  3. Step 3: Cross multiply
    79,062x = 122,085 × 122,085
  4. Step 4: Simplify right side
    79,062x = 14,904,747,225
  5. Step 5: Solve for x
    x = 14,904,747,225/79,062
  6. Step 6: Final answer
    x = 188,519.73

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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.