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Finding the Third Proportional to 40,956 and 88,822

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Solution

The third proportional to 40,956 and 88,822 is: 192,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,956 : 88,822 = 88,822 : x
  2. Step 2: Convert to fraction form
    40,956/88,822 = 88,822/x
  3. Step 3: Cross multiply
    40,956x = 88,822 × 88,822
  4. Step 4: Simplify right side
    40,956x = 7,889,347,684
  5. Step 5: Solve for x
    x = 7,889,347,684/40,956
  6. Step 6: Final answer
    x = 192,629.84

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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.