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Finding the Third Proportional to 74,328 and 161,777

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Solution

The third proportional to 74,328 and 161,777 is: 352,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,328 : 161,777 = 161,777 : x
  2. Step 2: Convert to fraction form
    74,328/161,777 = 161,777/x
  3. Step 3: Cross multiply
    74,328x = 161,777 × 161,777
  4. Step 4: Simplify right side
    74,328x = 26,171,797,729
  5. Step 5: Solve for x
    x = 26,171,797,729/74,328
  6. Step 6: Final answer
    x = 352,112.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.