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Finding the Third Proportional to 68,823 and 104,187

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Solution

The third proportional to 68,823 and 104,187 is: 157,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,823 : 104,187 = 104,187 : x
  2. Step 2: Convert to fraction form
    68,823/104,187 = 104,187/x
  3. Step 3: Cross multiply
    68,823x = 104,187 × 104,187
  4. Step 4: Simplify right side
    68,823x = 10,854,930,969
  5. Step 5: Solve for x
    x = 10,854,930,969/68,823
  6. Step 6: Final answer
    x = 157,722.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.