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Finding the Third Proportional to 80,899 and 126,629.50

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Solution

The third proportional to 80,899 and 126,629.50 is: 198,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,899 : 126,629.50 = 126,629.50 : x
  2. Step 2: Convert to fraction form
    80,899/126,629.50 = 126,629.50/x
  3. Step 3: Cross multiply
    80,899x = 126,629.50 × 126,629.50
  4. Step 4: Simplify right side
    80,899x = 16,035,030,270.25
  5. Step 5: Solve for x
    x = 16,035,030,270.25/80,899
  6. Step 6: Final answer
    x = 198,210.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.