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Finding the Third Proportional to 42,279.50 and 91,100

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Solution

The third proportional to 42,279.50 and 91,100 is: 196,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,279.50 : 91,100 = 91,100 : x
  2. Step 2: Convert to fraction form
    42,279.50/91,100 = 91,100/x
  3. Step 3: Cross multiply
    42,279.50x = 91,100 × 91,100
  4. Step 4: Simplify right side
    42,279.50x = 8,299,210,000
  5. Step 5: Solve for x
    x = 8,299,210,000/42,279.50
  6. Step 6: Final answer
    x = 196,293.95

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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.