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Finding the Third Proportional to 40,074.75 and 94,288.50

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Solution

The third proportional to 40,074.75 and 94,288.50 is: 221,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,074.75 : 94,288.50 = 94,288.50 : x
  2. Step 2: Convert to fraction form
    40,074.75/94,288.50 = 94,288.50/x
  3. Step 3: Cross multiply
    40,074.75x = 94,288.50 × 94,288.50
  4. Step 4: Simplify right side
    40,074.75x = 8,890,321,232.25
  5. Step 5: Solve for x
    x = 8,890,321,232.25/40,074.75
  6. Step 6: Final answer
    x = 221,843.46

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.