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Finding the Third Proportional to 80,967 and 126,748.50

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Solution

The third proportional to 80,967 and 126,748.50 is: 198,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,967 : 126,748.50 = 126,748.50 : x
  2. Step 2: Convert to fraction form
    80,967/126,748.50 = 126,748.50/x
  3. Step 3: Cross multiply
    80,967x = 126,748.50 × 126,748.50
  4. Step 4: Simplify right side
    80,967x = 16,065,182,252.25
  5. Step 5: Solve for x
    x = 16,065,182,252.25/80,967
  6. Step 6: Final answer
    x = 198,416.42

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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.