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Finding the Third Proportional to 79,619 and 171,034

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Solution

The third proportional to 79,619 and 171,034 is: 367,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,619 : 171,034 = 171,034 : x
  2. Step 2: Convert to fraction form
    79,619/171,034 = 171,034/x
  3. Step 3: Cross multiply
    79,619x = 171,034 × 171,034
  4. Step 4: Simplify right side
    79,619x = 29,252,629,156
  5. Step 5: Solve for x
    x = 29,252,629,156/79,619
  6. Step 6: Final answer
    x = 367,407.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.