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Finding the Third Proportional to 36,414 and 79,064

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Solution

The third proportional to 36,414 and 79,064 is: 171,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414 : 79,064 = 79,064 : x
  2. Step 2: Convert to fraction form
    36,414/79,064 = 79,064/x
  3. Step 3: Cross multiply
    36,414x = 79,064 × 79,064
  4. Step 4: Simplify right side
    36,414x = 6,251,116,096
  5. Step 5: Solve for x
    x = 6,251,116,096/36,414
  6. Step 6: Final answer
    x = 171,667.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.