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Finding the Third Proportional to 63,576 and 135,369

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Solution

The third proportional to 63,576 and 135,369 is: 288,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,576 : 135,369 = 135,369 : x
  2. Step 2: Convert to fraction form
    63,576/135,369 = 135,369/x
  3. Step 3: Cross multiply
    63,576x = 135,369 × 135,369
  4. Step 4: Simplify right side
    63,576x = 18,324,766,161
  5. Step 5: Solve for x
    x = 18,324,766,161/63,576
  6. Step 6: Final answer
    x = 288,234.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.