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Finding the Third Proportional to 79,024 and 171,171

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Solution

The third proportional to 79,024 and 171,171 is: 370,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,024 : 171,171 = 171,171 : x
  2. Step 2: Convert to fraction form
    79,024/171,171 = 171,171/x
  3. Step 3: Cross multiply
    79,024x = 171,171 × 171,171
  4. Step 4: Simplify right side
    79,024x = 29,299,511,241
  5. Step 5: Solve for x
    x = 29,299,511,241/79,024
  6. Step 6: Final answer
    x = 370,767.25

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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.