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Finding the Third Proportional to 67,161 and 94,146

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Solution

The third proportional to 67,161 and 94,146 is: 131,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,161 : 94,146 = 94,146 : x
  2. Step 2: Convert to fraction form
    67,161/94,146 = 94,146/x
  3. Step 3: Cross multiply
    67,161x = 94,146 × 94,146
  4. Step 4: Simplify right side
    67,161x = 8,863,469,316
  5. Step 5: Solve for x
    x = 8,863,469,316/67,161
  6. Step 6: Final answer
    x = 131,973.46

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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.