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Finding the Third Proportional to 74,625 and 161,064

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Solution

The third proportional to 74,625 and 161,064 is: 347,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,625 : 161,064 = 161,064 : x
  2. Step 2: Convert to fraction form
    74,625/161,064 = 161,064/x
  3. Step 3: Cross multiply
    74,625x = 161,064 × 161,064
  4. Step 4: Simplify right side
    74,625x = 25,941,612,096
  5. Step 5: Solve for x
    x = 25,941,612,096/74,625
  6. Step 6: Final answer
    x = 347,626.29

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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.