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Finding the Third Proportional to 69,698 and 92,739

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Solution

The third proportional to 69,698 and 92,739 is: 123,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,698 : 92,739 = 92,739 : x
  2. Step 2: Convert to fraction form
    69,698/92,739 = 92,739/x
  3. Step 3: Cross multiply
    69,698x = 92,739 × 92,739
  4. Step 4: Simplify right side
    69,698x = 8,600,522,121
  5. Step 5: Solve for x
    x = 8,600,522,121/69,698
  6. Step 6: Final answer
    x = 123,396.97

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.