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Finding the Third Proportional to 67,864.50 and 89,244

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Solution

The third proportional to 67,864.50 and 89,244 is: 117,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,864.50 : 89,244 = 89,244 : x
  2. Step 2: Convert to fraction form
    67,864.50/89,244 = 89,244/x
  3. Step 3: Cross multiply
    67,864.50x = 89,244 × 89,244
  4. Step 4: Simplify right side
    67,864.50x = 7,964,491,536
  5. Step 5: Solve for x
    x = 7,964,491,536/67,864.50
  6. Step 6: Final answer
    x = 117,358.73

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.