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Finding the Third Proportional to 42,025.50 and 91,050.75

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Solution

The third proportional to 42,025.50 and 91,050.75 is: 197,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,025.50 : 91,050.75 = 91,050.75 : x
  2. Step 2: Convert to fraction form
    42,025.50/91,050.75 = 91,050.75/x
  3. Step 3: Cross multiply
    42,025.50x = 91,050.75 × 91,050.75
  4. Step 4: Simplify right side
    42,025.50x = 8,290,239,075.56
  5. Step 5: Solve for x
    x = 8,290,239,075.56/42,025.50
  6. Step 6: Final answer
    x = 197,266.88

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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.