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Finding the Third Proportional to 68,305.50 and 106,922

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Solution

The third proportional to 68,305.50 and 106,922 is: 167,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,305.50 : 106,922 = 106,922 : x
  2. Step 2: Convert to fraction form
    68,305.50/106,922 = 106,922/x
  3. Step 3: Cross multiply
    68,305.50x = 106,922 × 106,922
  4. Step 4: Simplify right side
    68,305.50x = 11,432,314,084
  5. Step 5: Solve for x
    x = 11,432,314,084/68,305.50
  6. Step 6: Final answer
    x = 167,370.33

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.