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Finding the Third Proportional to 67,069 and 94,003

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Solution

The third proportional to 67,069 and 94,003 is: 131,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,069 : 94,003 = 94,003 : x
  2. Step 2: Convert to fraction form
    67,069/94,003 = 94,003/x
  3. Step 3: Cross multiply
    67,069x = 94,003 × 94,003
  4. Step 4: Simplify right side
    67,069x = 8,836,564,009
  5. Step 5: Solve for x
    x = 8,836,564,009/67,069
  6. Step 6: Final answer
    x = 131,753.33

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.