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Finding the Third Proportional to 79,642 and 171,089

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Solution

The third proportional to 79,642 and 171,089 is: 367,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,642 : 171,089 = 171,089 : x
  2. Step 2: Convert to fraction form
    79,642/171,089 = 171,089/x
  3. Step 3: Cross multiply
    79,642x = 171,089 × 171,089
  4. Step 4: Simplify right side
    79,642x = 29,271,445,921
  5. Step 5: Solve for x
    x = 29,271,445,921/79,642
  6. Step 6: Final answer
    x = 367,537.81

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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.