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Finding the Third Proportional to 57,775.50 and 126,580.50

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Solution

The third proportional to 57,775.50 and 126,580.50 is: 277,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,775.50 : 126,580.50 = 126,580.50 : x
  2. Step 2: Convert to fraction form
    57,775.50/126,580.50 = 126,580.50/x
  3. Step 3: Cross multiply
    57,775.50x = 126,580.50 × 126,580.50
  4. Step 4: Simplify right side
    57,775.50x = 16,022,622,980.25
  5. Step 5: Solve for x
    x = 16,022,622,980.25/57,775.50
  6. Step 6: Final answer
    x = 277,325.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.