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Finding the Third Proportional to 37,296 and 74,556

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Solution

The third proportional to 37,296 and 74,556 is: 149,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,296 : 74,556 = 74,556 : x
  2. Step 2: Convert to fraction form
    37,296/74,556 = 74,556/x
  3. Step 3: Cross multiply
    37,296x = 74,556 × 74,556
  4. Step 4: Simplify right side
    37,296x = 5,558,597,136
  5. Step 5: Solve for x
    x = 5,558,597,136/37,296
  6. Step 6: Final answer
    x = 149,040.03

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.