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Finding the Third Proportional to 57,736.50 and 126,811.50

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Solution

The third proportional to 57,736.50 and 126,811.50 is: 278,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,736.50 : 126,811.50 = 126,811.50 : x
  2. Step 2: Convert to fraction form
    57,736.50/126,811.50 = 126,811.50/x
  3. Step 3: Cross multiply
    57,736.50x = 126,811.50 × 126,811.50
  4. Step 4: Simplify right side
    57,736.50x = 16,081,156,532.25
  5. Step 5: Solve for x
    x = 16,081,156,532.25/57,736.50
  6. Step 6: Final answer
    x = 278,526.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.