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Finding the Third Proportional to 72,951 and 151,449

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Solution

The third proportional to 72,951 and 151,449 is: 314,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,951 : 151,449 = 151,449 : x
  2. Step 2: Convert to fraction form
    72,951/151,449 = 151,449/x
  3. Step 3: Cross multiply
    72,951x = 151,449 × 151,449
  4. Step 4: Simplify right side
    72,951x = 22,936,799,601
  5. Step 5: Solve for x
    x = 22,936,799,601/72,951
  6. Step 6: Final answer
    x = 314,413.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.