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Finding the Third Proportional to 36,151 and 79,105

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Solution

The third proportional to 36,151 and 79,105 is: 173,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,151 : 79,105 = 79,105 : x
  2. Step 2: Convert to fraction form
    36,151/79,105 = 79,105/x
  3. Step 3: Cross multiply
    36,151x = 79,105 × 79,105
  4. Step 4: Simplify right side
    36,151x = 6,257,601,025
  5. Step 5: Solve for x
    x = 6,257,601,025/36,151
  6. Step 6: Final answer
    x = 173,096.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.