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Finding the Third Proportional to 70,728.19 and 151,578.84

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Solution

The third proportional to 70,728.19 and 151,578.84 is: 324,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,728.19 : 151,578.84 = 151,578.84 : x
  2. Step 2: Convert to fraction form
    70,728.19/151,578.84 = 151,578.84/x
  3. Step 3: Cross multiply
    70,728.19x = 151,578.84 × 151,578.84
  4. Step 4: Simplify right side
    70,728.19x = 22,976,145,872.59
  5. Step 5: Solve for x
    x = 22,976,145,872.59/70,728.19
  6. Step 6: Final answer
    x = 324,851.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.