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Finding the Third Proportional to 67,158 and 94,141

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Solution

The third proportional to 67,158 and 94,141 is: 131,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,158 : 94,141 = 94,141 : x
  2. Step 2: Convert to fraction form
    67,158/94,141 = 94,141/x
  3. Step 3: Cross multiply
    67,158x = 94,141 × 94,141
  4. Step 4: Simplify right side
    67,158x = 8,862,527,881
  5. Step 5: Solve for x
    x = 8,862,527,881/67,158
  6. Step 6: Final answer
    x = 131,965.33

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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.