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Finding the Third Proportional to 41,127.75 and 89,783.44

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Solution

The third proportional to 41,127.75 and 89,783.44 is: 196,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,127.75 : 89,783.44 = 89,783.44 : x
  2. Step 2: Convert to fraction form
    41,127.75/89,783.44 = 89,783.44/x
  3. Step 3: Cross multiply
    41,127.75x = 89,783.44 × 89,783.44
  4. Step 4: Simplify right side
    41,127.75x = 8,061,065,649.32
  5. Step 5: Solve for x
    x = 8,061,065,649.32/41,127.75
  6. Step 6: Final answer
    x = 196,000.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.