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Finding the Third Proportional to 74,716 and 161,876

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Solution

The third proportional to 74,716 and 161,876 is: 350,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,716 : 161,876 = 161,876 : x
  2. Step 2: Convert to fraction form
    74,716/161,876 = 161,876/x
  3. Step 3: Cross multiply
    74,716x = 161,876 × 161,876
  4. Step 4: Simplify right side
    74,716x = 26,203,839,376
  5. Step 5: Solve for x
    x = 26,203,839,376/74,716
  6. Step 6: Final answer
    x = 350,712.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.