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Finding the Third Proportional to 79,992 and 171,051

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Solution

The third proportional to 79,992 and 171,051 is: 365,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,992 : 171,051 = 171,051 : x
  2. Step 2: Convert to fraction form
    79,992/171,051 = 171,051/x
  3. Step 3: Cross multiply
    79,992x = 171,051 × 171,051
  4. Step 4: Simplify right side
    79,992x = 29,258,444,601
  5. Step 5: Solve for x
    x = 29,258,444,601/79,992
  6. Step 6: Final answer
    x = 365,767.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.