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Finding the Third Proportional to 73,288 and 149,136

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Solution

The third proportional to 73,288 and 149,136 is: 303,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,288 : 149,136 = 149,136 : x
  2. Step 2: Convert to fraction form
    73,288/149,136 = 149,136/x
  3. Step 3: Cross multiply
    73,288x = 149,136 × 149,136
  4. Step 4: Simplify right side
    73,288x = 22,241,546,496
  5. Step 5: Solve for x
    x = 22,241,546,496/73,288
  6. Step 6: Final answer
    x = 303,481.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.