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Finding the Third Proportional to 45,338 and 68,181

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Solution

The third proportional to 45,338 and 68,181 is: 102,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,338 : 68,181 = 68,181 : x
  2. Step 2: Convert to fraction form
    45,338/68,181 = 68,181/x
  3. Step 3: Cross multiply
    45,338x = 68,181 × 68,181
  4. Step 4: Simplify right side
    45,338x = 4,648,648,761
  5. Step 5: Solve for x
    x = 4,648,648,761/45,338
  6. Step 6: Final answer
    x = 102,533.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.