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Finding the Third Proportional to 134,834 and 181,512

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Solution

The third proportional to 134,834 and 181,512 is: 244,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,834 : 181,512 = 181,512 : x
  2. Step 2: Convert to fraction form
    134,834/181,512 = 181,512/x
  3. Step 3: Cross multiply
    134,834x = 181,512 × 181,512
  4. Step 4: Simplify right side
    134,834x = 32,946,606,144
  5. Step 5: Solve for x
    x = 32,946,606,144/134,834
  6. Step 6: Final answer
    x = 244,349.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.