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Finding the Third Proportional to 91,794 and 123,546

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Solution

The third proportional to 91,794 and 123,546 is: 166,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,794 : 123,546 = 123,546 : x
  2. Step 2: Convert to fraction form
    91,794/123,546 = 123,546/x
  3. Step 3: Cross multiply
    91,794x = 123,546 × 123,546
  4. Step 4: Simplify right side
    91,794x = 15,263,614,116
  5. Step 5: Solve for x
    x = 15,263,614,116/91,794
  6. Step 6: Final answer
    x = 166,281.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.