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Finding the Third Proportional to 79,024 and 171,164

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Solution

The third proportional to 79,024 and 171,164 is: 370,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,024 : 171,164 = 171,164 : x
  2. Step 2: Convert to fraction form
    79,024/171,164 = 171,164/x
  3. Step 3: Cross multiply
    79,024x = 171,164 × 171,164
  4. Step 4: Simplify right side
    79,024x = 29,297,114,896
  5. Step 5: Solve for x
    x = 29,297,114,896/79,024
  6. Step 6: Final answer
    x = 370,736.93

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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.