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Finding the Third Proportional to 67,891.50 and 102,966

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Solution

The third proportional to 67,891.50 and 102,966 is: 156,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,891.50 : 102,966 = 102,966 : x
  2. Step 2: Convert to fraction form
    67,891.50/102,966 = 102,966/x
  3. Step 3: Cross multiply
    67,891.50x = 102,966 × 102,966
  4. Step 4: Simplify right side
    67,891.50x = 10,601,997,156
  5. Step 5: Solve for x
    x = 10,601,997,156/67,891.50
  6. Step 6: Final answer
    x = 156,160.89

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.