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Finding the Third Proportional to 91,774 and 123,836

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Solution

The third proportional to 91,774 and 123,836 is: 167,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,774 : 123,836 = 123,836 : x
  2. Step 2: Convert to fraction form
    91,774/123,836 = 123,836/x
  3. Step 3: Cross multiply
    91,774x = 123,836 × 123,836
  4. Step 4: Simplify right side
    91,774x = 15,335,354,896
  5. Step 5: Solve for x
    x = 15,335,354,896/91,774
  6. Step 6: Final answer
    x = 167,099.12

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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.