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Finding the Third Proportional to 103,912 and 151,976

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Solution

The third proportional to 103,912 and 151,976 is: 222,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,912 : 151,976 = 151,976 : x
  2. Step 2: Convert to fraction form
    103,912/151,976 = 151,976/x
  3. Step 3: Cross multiply
    103,912x = 151,976 × 151,976
  4. Step 4: Simplify right side
    103,912x = 23,096,704,576
  5. Step 5: Solve for x
    x = 23,096,704,576/103,912
  6. Step 6: Final answer
    x = 222,271.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.