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Finding the Third Proportional to 41,101.50 and 87,499.50

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Solution

The third proportional to 41,101.50 and 87,499.50 is: 186,274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,101.50 : 87,499.50 = 87,499.50 : x
  2. Step 2: Convert to fraction form
    41,101.50/87,499.50 = 87,499.50/x
  3. Step 3: Cross multiply
    41,101.50x = 87,499.50 × 87,499.50
  4. Step 4: Simplify right side
    41,101.50x = 7,656,162,500.25
  5. Step 5: Solve for x
    x = 7,656,162,500.25/41,101.50
  6. Step 6: Final answer
    x = 186,274.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.