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Finding the Third Proportional to 43,158 and 67,815

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Solution

The third proportional to 43,158 and 67,815 is: 106,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,158 : 67,815 = 67,815 : x
  2. Step 2: Convert to fraction form
    43,158/67,815 = 67,815/x
  3. Step 3: Cross multiply
    43,158x = 67,815 × 67,815
  4. Step 4: Simplify right side
    43,158x = 4,598,874,225
  5. Step 5: Solve for x
    x = 4,598,874,225/43,158
  6. Step 6: Final answer
    x = 106,559.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.