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Finding the Third Proportional to 42,388 and 67,105

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Solution

The third proportional to 42,388 and 67,105 is: 106,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,388 : 67,105 = 67,105 : x
  2. Step 2: Convert to fraction form
    42,388/67,105 = 67,105/x
  3. Step 3: Cross multiply
    42,388x = 67,105 × 67,105
  4. Step 4: Simplify right side
    42,388x = 4,503,081,025
  5. Step 5: Solve for x
    x = 4,503,081,025/42,388
  6. Step 6: Final answer
    x = 106,234.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.