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Finding the Third Proportional to 67,078 and 94,015

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Solution

The third proportional to 67,078 and 94,015 is: 131,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,078 : 94,015 = 94,015 : x
  2. Step 2: Convert to fraction form
    67,078/94,015 = 94,015/x
  3. Step 3: Cross multiply
    67,078x = 94,015 × 94,015
  4. Step 4: Simplify right side
    67,078x = 8,838,820,225
  5. Step 5: Solve for x
    x = 8,838,820,225/67,078
  6. Step 6: Final answer
    x = 131,769.29

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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.