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Finding the Third Proportional to 133,815 and 181,647

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Solution

The third proportional to 133,815 and 181,647 is: 246,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,815 : 181,647 = 181,647 : x
  2. Step 2: Convert to fraction form
    133,815/181,647 = 181,647/x
  3. Step 3: Cross multiply
    133,815x = 181,647 × 181,647
  4. Step 4: Simplify right side
    133,815x = 32,995,632,609
  5. Step 5: Solve for x
    x = 32,995,632,609/133,815
  6. Step 6: Final answer
    x = 246,576.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.