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Finding the Third Proportional to 40,245 and 87,409.25

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Solution

The third proportional to 40,245 and 87,409.25 is: 189,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,245 : 87,409.25 = 87,409.25 : x
  2. Step 2: Convert to fraction form
    40,245/87,409.25 = 87,409.25/x
  3. Step 3: Cross multiply
    40,245x = 87,409.25 × 87,409.25
  4. Step 4: Simplify right side
    40,245x = 7,640,376,985.56
  5. Step 5: Solve for x
    x = 7,640,376,985.56/40,245
  6. Step 6: Final answer
    x = 189,846.61

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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.