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Finding the Third Proportional to 74,963 and 161,041

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Solution

The third proportional to 74,963 and 161,041 is: 345,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,963 : 161,041 = 161,041 : x
  2. Step 2: Convert to fraction form
    74,963/161,041 = 161,041/x
  3. Step 3: Cross multiply
    74,963x = 161,041 × 161,041
  4. Step 4: Simplify right side
    74,963x = 25,934,203,681
  5. Step 5: Solve for x
    x = 25,934,203,681/74,963
  6. Step 6: Final answer
    x = 345,960.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.