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Finding the Third Proportional to 74,134 and 161,372

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Solution

The third proportional to 74,134 and 161,372 is: 351,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,134 : 161,372 = 161,372 : x
  2. Step 2: Convert to fraction form
    74,134/161,372 = 161,372/x
  3. Step 3: Cross multiply
    74,134x = 161,372 × 161,372
  4. Step 4: Simplify right side
    74,134x = 26,040,922,384
  5. Step 5: Solve for x
    x = 26,040,922,384/74,134
  6. Step 6: Final answer
    x = 351,268.28

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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.