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Finding the Third Proportional to 41,017.50 and 89,149.50

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Solution

The third proportional to 41,017.50 and 89,149.50 is: 193,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,017.50 : 89,149.50 = 89,149.50 : x
  2. Step 2: Convert to fraction form
    41,017.50/89,149.50 = 89,149.50/x
  3. Step 3: Cross multiply
    41,017.50x = 89,149.50 × 89,149.50
  4. Step 4: Simplify right side
    41,017.50x = 7,947,633,350.25
  5. Step 5: Solve for x
    x = 7,947,633,350.25/41,017.50
  6. Step 6: Final answer
    x = 193,762.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.