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Finding the Third Proportional to 81,568.50 and 180,606

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Solution

The third proportional to 81,568.50 and 180,606 is: 399,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,568.50 : 180,606 = 180,606 : x
  2. Step 2: Convert to fraction form
    81,568.50/180,606 = 180,606/x
  3. Step 3: Cross multiply
    81,568.50x = 180,606 × 180,606
  4. Step 4: Simplify right side
    81,568.50x = 32,618,527,236
  5. Step 5: Solve for x
    x = 32,618,527,236/81,568.50
  6. Step 6: Final answer
    x = 399,891.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.