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Finding the Third Proportional to 36,069 and 79,057

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Solution

The third proportional to 36,069 and 79,057 is: 173,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,069 : 79,057 = 79,057 : x
  2. Step 2: Convert to fraction form
    36,069/79,057 = 79,057/x
  3. Step 3: Cross multiply
    36,069x = 79,057 × 79,057
  4. Step 4: Simplify right side
    36,069x = 6,250,009,249
  5. Step 5: Solve for x
    x = 6,250,009,249/36,069
  6. Step 6: Final answer
    x = 173,279.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.