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Finding the Third Proportional to 126,728.16 and 196,158.94

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Solution

The third proportional to 126,728.16 and 196,158.94 is: 303,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,728.16 : 196,158.94 = 196,158.94 : x
  2. Step 2: Convert to fraction form
    126,728.16/196,158.94 = 196,158.94/x
  3. Step 3: Cross multiply
    126,728.16x = 196,158.94 × 196,158.94
  4. Step 4: Simplify right side
    126,728.16x = 38,478,328,761.13
  5. Step 5: Solve for x
    x = 38,478,328,761.13/126,728.16
  6. Step 6: Final answer
    x = 303,628.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.