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Finding the Third Proportional to 41,271.75 and 90,427.50

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Solution

The third proportional to 41,271.75 and 90,427.50 is: 198,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,271.75 : 90,427.50 = 90,427.50 : x
  2. Step 2: Convert to fraction form
    41,271.75/90,427.50 = 90,427.50/x
  3. Step 3: Cross multiply
    41,271.75x = 90,427.50 × 90,427.50
  4. Step 4: Simplify right side
    41,271.75x = 8,177,132,756.25
  5. Step 5: Solve for x
    x = 8,177,132,756.25/41,271.75
  6. Step 6: Final answer
    x = 198,129.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.