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Finding the Third Proportional to 41,401.50 and 92,173.50

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Solution

The third proportional to 41,401.50 and 92,173.50 is: 205,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,401.50 : 92,173.50 = 92,173.50 : x
  2. Step 2: Convert to fraction form
    41,401.50/92,173.50 = 92,173.50/x
  3. Step 3: Cross multiply
    41,401.50x = 92,173.50 × 92,173.50
  4. Step 4: Simplify right side
    41,401.50x = 8,495,954,102.25
  5. Step 5: Solve for x
    x = 8,495,954,102.25/41,401.50
  6. Step 6: Final answer
    x = 205,208.85

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.