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Finding the Third Proportional to 43,807 and 68,631

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Solution

The third proportional to 43,807 and 68,631 is: 107,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807 : 68,631 = 68,631 : x
  2. Step 2: Convert to fraction form
    43,807/68,631 = 68,631/x
  3. Step 3: Cross multiply
    43,807x = 68,631 × 68,631
  4. Step 4: Simplify right side
    43,807x = 4,710,214,161
  5. Step 5: Solve for x
    x = 4,710,214,161/43,807
  6. Step 6: Final answer
    x = 107,521.95

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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.