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Finding the Third Proportional to 68,351.50 and 143,606

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Solution

The third proportional to 68,351.50 and 143,606 is: 301,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,351.50 : 143,606 = 143,606 : x
  2. Step 2: Convert to fraction form
    68,351.50/143,606 = 143,606/x
  3. Step 3: Cross multiply
    68,351.50x = 143,606 × 143,606
  4. Step 4: Simplify right side
    68,351.50x = 20,622,683,236
  5. Step 5: Solve for x
    x = 20,622,683,236/68,351.50
  6. Step 6: Final answer
    x = 301,715.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.