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Finding the Third Proportional to 43,774 and 67,901

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Solution

The third proportional to 43,774 and 67,901 is: 105,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,774 : 67,901 = 67,901 : x
  2. Step 2: Convert to fraction form
    43,774/67,901 = 67,901/x
  3. Step 3: Cross multiply
    43,774x = 67,901 × 67,901
  4. Step 4: Simplify right side
    43,774x = 4,610,545,801
  5. Step 5: Solve for x
    x = 4,610,545,801/43,774
  6. Step 6: Final answer
    x = 105,326.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.