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Finding the Third Proportional to 69,162 and 109,791

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Solution

The third proportional to 69,162 and 109,791 is: 174,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,162 : 109,791 = 109,791 : x
  2. Step 2: Convert to fraction form
    69,162/109,791 = 109,791/x
  3. Step 3: Cross multiply
    69,162x = 109,791 × 109,791
  4. Step 4: Simplify right side
    69,162x = 12,054,063,681
  5. Step 5: Solve for x
    x = 12,054,063,681/69,162
  6. Step 6: Final answer
    x = 174,287.38

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.