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Finding the Third Proportional to 51,096 and 74,956

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Solution

The third proportional to 51,096 and 74,956 is: 109,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,096 : 74,956 = 74,956 : x
  2. Step 2: Convert to fraction form
    51,096/74,956 = 74,956/x
  3. Step 3: Cross multiply
    51,096x = 74,956 × 74,956
  4. Step 4: Simplify right side
    51,096x = 5,618,401,936
  5. Step 5: Solve for x
    x = 5,618,401,936/51,096
  6. Step 6: Final answer
    x = 109,957.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.