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Finding the Third Proportional to 74,024 and 150,795

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Solution

The third proportional to 74,024 and 150,795 is: 307,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,024 : 150,795 = 150,795 : x
  2. Step 2: Convert to fraction form
    74,024/150,795 = 150,795/x
  3. Step 3: Cross multiply
    74,024x = 150,795 × 150,795
  4. Step 4: Simplify right side
    74,024x = 22,739,132,025
  5. Step 5: Solve for x
    x = 22,739,132,025/74,024
  6. Step 6: Final answer
    x = 307,185.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.