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Finding the Third Proportional to 109,505.50 and 121,025.50

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Solution

The third proportional to 109,505.50 and 121,025.50 is: 133,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,505.50 : 121,025.50 = 121,025.50 : x
  2. Step 2: Convert to fraction form
    109,505.50/121,025.50 = 121,025.50/x
  3. Step 3: Cross multiply
    109,505.50x = 121,025.50 × 121,025.50
  4. Step 4: Simplify right side
    109,505.50x = 14,647,171,650.25
  5. Step 5: Solve for x
    x = 14,647,171,650.25/109,505.50
  6. Step 6: Final answer
    x = 133,757.41

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.