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Finding the Third Proportional to 41,671.50 and 89,858.50

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Solution

The third proportional to 41,671.50 and 89,858.50 is: 193,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,671.50 : 89,858.50 = 89,858.50 : x
  2. Step 2: Convert to fraction form
    41,671.50/89,858.50 = 89,858.50/x
  3. Step 3: Cross multiply
    41,671.50x = 89,858.50 × 89,858.50
  4. Step 4: Simplify right side
    41,671.50x = 8,074,550,022.25
  5. Step 5: Solve for x
    x = 8,074,550,022.25/41,671.50
  6. Step 6: Final answer
    x = 193,766.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.