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Finding the Third Proportional to 73,682 and 159,136

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Solution

The third proportional to 73,682 and 159,136 is: 343,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,682 : 159,136 = 159,136 : x
  2. Step 2: Convert to fraction form
    73,682/159,136 = 159,136/x
  3. Step 3: Cross multiply
    73,682x = 159,136 × 159,136
  4. Step 4: Simplify right side
    73,682x = 25,324,266,496
  5. Step 5: Solve for x
    x = 25,324,266,496/73,682
  6. Step 6: Final answer
    x = 343,696.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.