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Finding the Third Proportional to 74,912 and 160,942

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Solution

The third proportional to 74,912 and 160,942 is: 345,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,912 : 160,942 = 160,942 : x
  2. Step 2: Convert to fraction form
    74,912/160,942 = 160,942/x
  3. Step 3: Cross multiply
    74,912x = 160,942 × 160,942
  4. Step 4: Simplify right side
    74,912x = 25,902,327,364
  5. Step 5: Solve for x
    x = 25,902,327,364/74,912
  6. Step 6: Final answer
    x = 345,770.07

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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.