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Finding the Third Proportional to 68,302.13 and 106,917.19

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Solution

The third proportional to 68,302.13 and 106,917.19 is: 167,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,302.13 : 106,917.19 = 106,917.19 : x
  2. Step 2: Convert to fraction form
    68,302.13/106,917.19 = 106,917.19/x
  3. Step 3: Cross multiply
    68,302.13x = 106,917.19 × 106,917.19
  4. Step 4: Simplify right side
    68,302.13x = 11,431,284,982.91
  5. Step 5: Solve for x
    x = 11,431,284,982.91/68,302.13
  6. Step 6: Final answer
    x = 167,363.53

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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.