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Finding the Third Proportional to 55,201.50 and 80,824.50

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Solution

The third proportional to 55,201.50 and 80,824.50 is: 118,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201.50 : 80,824.50 = 80,824.50 : x
  2. Step 2: Convert to fraction form
    55,201.50/80,824.50 = 80,824.50/x
  3. Step 3: Cross multiply
    55,201.50x = 80,824.50 × 80,824.50
  4. Step 4: Simplify right side
    55,201.50x = 6,532,599,800.25
  5. Step 5: Solve for x
    x = 6,532,599,800.25/55,201.50
  6. Step 6: Final answer
    x = 118,340.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.