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Finding the Third Proportional to 133,936 and 202,632

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Solution

The third proportional to 133,936 and 202,632 is: 306,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,936 : 202,632 = 202,632 : x
  2. Step 2: Convert to fraction form
    133,936/202,632 = 202,632/x
  3. Step 3: Cross multiply
    133,936x = 202,632 × 202,632
  4. Step 4: Simplify right side
    133,936x = 41,059,727,424
  5. Step 5: Solve for x
    x = 41,059,727,424/133,936
  6. Step 6: Final answer
    x = 306,562.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.