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Finding the Third Proportional to 68,974.50 and 105,467.25

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Solution

The third proportional to 68,974.50 and 105,467.25 is: 161,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,974.50 : 105,467.25 = 105,467.25 : x
  2. Step 2: Convert to fraction form
    68,974.50/105,467.25 = 105,467.25/x
  3. Step 3: Cross multiply
    68,974.50x = 105,467.25 × 105,467.25
  4. Step 4: Simplify right side
    68,974.50x = 11,123,340,822.56
  5. Step 5: Solve for x
    x = 11,123,340,822.56/68,974.50
  6. Step 6: Final answer
    x = 161,267.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.