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Finding the Third Proportional to 79,645 and 171,097

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Solution

The third proportional to 79,645 and 171,097 is: 367,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,645 : 171,097 = 171,097 : x
  2. Step 2: Convert to fraction form
    79,645/171,097 = 171,097/x
  3. Step 3: Cross multiply
    79,645x = 171,097 × 171,097
  4. Step 4: Simplify right side
    79,645x = 29,274,183,409
  5. Step 5: Solve for x
    x = 29,274,183,409/79,645
  6. Step 6: Final answer
    x = 367,558.33

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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.