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Finding the Third Proportional to 39,174 and 84,450

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Solution

The third proportional to 39,174 and 84,450 is: 182,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,174 : 84,450 = 84,450 : x
  2. Step 2: Convert to fraction form
    39,174/84,450 = 84,450/x
  3. Step 3: Cross multiply
    39,174x = 84,450 × 84,450
  4. Step 4: Simplify right side
    39,174x = 7,131,802,500
  5. Step 5: Solve for x
    x = 7,131,802,500/39,174
  6. Step 6: Final answer
    x = 182,054.49

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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.