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Finding the Third Proportional to 42,041 and 90,278.50

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Solution

The third proportional to 42,041 and 90,278.50 is: 193,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,041 : 90,278.50 = 90,278.50 : x
  2. Step 2: Convert to fraction form
    42,041/90,278.50 = 90,278.50/x
  3. Step 3: Cross multiply
    42,041x = 90,278.50 × 90,278.50
  4. Step 4: Simplify right side
    42,041x = 8,150,207,562.25
  5. Step 5: Solve for x
    x = 8,150,207,562.25/42,041
  6. Step 6: Final answer
    x = 193,863.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.