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Finding the Third Proportional to 33,968 and 73,138

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Solution

The third proportional to 33,968 and 73,138 is: 157,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,968 : 73,138 = 73,138 : x
  2. Step 2: Convert to fraction form
    33,968/73,138 = 73,138/x
  3. Step 3: Cross multiply
    33,968x = 73,138 × 73,138
  4. Step 4: Simplify right side
    33,968x = 5,349,167,044
  5. Step 5: Solve for x
    x = 5,349,167,044/33,968
  6. Step 6: Final answer
    x = 157,476.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.