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Finding the Third Proportional to 42,020.56 and 91,041.44

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Solution

The third proportional to 42,020.56 and 91,041.44 is: 197,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,020.56 : 91,041.44 = 91,041.44 : x
  2. Step 2: Convert to fraction form
    42,020.56/91,041.44 = 91,041.44/x
  3. Step 3: Cross multiply
    42,020.56x = 91,041.44 × 91,041.44
  4. Step 4: Simplify right side
    42,020.56x = 8,288,543,342.07
  5. Step 5: Solve for x
    x = 8,288,543,342.07/42,020.56
  6. Step 6: Final answer
    x = 197,249.70

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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.