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Finding the Third Proportional to 41,269.50 and 68,281.88

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Solution

The third proportional to 41,269.50 and 68,281.88 is: 112,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,269.50 : 68,281.88 = 68,281.88 : x
  2. Step 2: Convert to fraction form
    41,269.50/68,281.88 = 68,281.88/x
  3. Step 3: Cross multiply
    41,269.50x = 68,281.88 × 68,281.88
  4. Step 4: Simplify right side
    41,269.50x = 4,662,414,453.52
  5. Step 5: Solve for x
    x = 4,662,414,453.52/41,269.50
  6. Step 6: Final answer
    x = 112,974.82

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.