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Finding the Third Proportional to 74,916 and 160,949

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Solution

The third proportional to 74,916 and 160,949 is: 345,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,916 : 160,949 = 160,949 : x
  2. Step 2: Convert to fraction form
    74,916/160,949 = 160,949/x
  3. Step 3: Cross multiply
    74,916x = 160,949 × 160,949
  4. Step 4: Simplify right side
    74,916x = 25,904,580,601
  5. Step 5: Solve for x
    x = 25,904,580,601/74,916
  6. Step 6: Final answer
    x = 345,781.68

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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.