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Finding the Third Proportional to 61,512.75 and 133,697.25

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Solution

The third proportional to 61,512.75 and 133,697.25 is: 290,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,512.75 : 133,697.25 = 133,697.25 : x
  2. Step 2: Convert to fraction form
    61,512.75/133,697.25 = 133,697.25/x
  3. Step 3: Cross multiply
    61,512.75x = 133,697.25 × 133,697.25
  4. Step 4: Simplify right side
    61,512.75x = 17,874,954,657.56
  5. Step 5: Solve for x
    x = 17,874,954,657.56/61,512.75
  6. Step 6: Final answer
    x = 290,589.43

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