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Finding the Third Proportional to 79,036 and 171,166

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Solution

The third proportional to 79,036 and 171,166 is: 370,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,036 : 171,166 = 171,166 : x
  2. Step 2: Convert to fraction form
    79,036/171,166 = 171,166/x
  3. Step 3: Cross multiply
    79,036x = 171,166 × 171,166
  4. Step 4: Simplify right side
    79,036x = 29,297,799,556
  5. Step 5: Solve for x
    x = 29,297,799,556/79,036
  6. Step 6: Final answer
    x = 370,689.30

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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.