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Finding the Third Proportional to 36,069 and 78,692

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Solution

The third proportional to 36,069 and 78,692 is: 171,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,069 : 78,692 = 78,692 : x
  2. Step 2: Convert to fraction form
    36,069/78,692 = 78,692/x
  3. Step 3: Cross multiply
    36,069x = 78,692 × 78,692
  4. Step 4: Simplify right side
    36,069x = 6,192,430,864
  5. Step 5: Solve for x
    x = 6,192,430,864/36,069
  6. Step 6: Final answer
    x = 171,682.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.