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Finding the Third Proportional to 133,834 and 181,674

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Solution

The third proportional to 133,834 and 181,674 is: 246,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,834 : 181,674 = 181,674 : x
  2. Step 2: Convert to fraction form
    133,834/181,674 = 181,674/x
  3. Step 3: Cross multiply
    133,834x = 181,674 × 181,674
  4. Step 4: Simplify right side
    133,834x = 33,005,442,276
  5. Step 5: Solve for x
    x = 33,005,442,276/133,834
  6. Step 6: Final answer
    x = 246,614.78

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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.