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Finding the Third Proportional to 68,184 and 145,845

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Solution

The third proportional to 68,184 and 145,845 is: 311,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,184 : 145,845 = 145,845 : x
  2. Step 2: Convert to fraction form
    68,184/145,845 = 145,845/x
  3. Step 3: Cross multiply
    68,184x = 145,845 × 145,845
  4. Step 4: Simplify right side
    68,184x = 21,270,764,025
  5. Step 5: Solve for x
    x = 21,270,764,025/68,184
  6. Step 6: Final answer
    x = 311,961.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.