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Finding the Third Proportional to 68,809 and 150,731

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Solution

The third proportional to 68,809 and 150,731 is: 330,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,809 : 150,731 = 150,731 : x
  2. Step 2: Convert to fraction form
    68,809/150,731 = 150,731/x
  3. Step 3: Cross multiply
    68,809x = 150,731 × 150,731
  4. Step 4: Simplify right side
    68,809x = 22,719,834,361
  5. Step 5: Solve for x
    x = 22,719,834,361/68,809
  6. Step 6: Final answer
    x = 330,186.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.