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Finding the Third Proportional to 137,799 and 195,039.75

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Solution

The third proportional to 137,799 and 195,039.75 is: 276,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,799 : 195,039.75 = 195,039.75 : x
  2. Step 2: Convert to fraction form
    137,799/195,039.75 = 195,039.75/x
  3. Step 3: Cross multiply
    137,799x = 195,039.75 × 195,039.75
  4. Step 4: Simplify right side
    137,799x = 38,040,504,080.06
  5. Step 5: Solve for x
    x = 38,040,504,080.06/137,799
  6. Step 6: Final answer
    x = 276,057.91

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.