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Finding the Third Proportional to 51,968 and 76,008

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Solution

The third proportional to 51,968 and 76,008 is: 111,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,968 : 76,008 = 76,008 : x
  2. Step 2: Convert to fraction form
    51,968/76,008 = 76,008/x
  3. Step 3: Cross multiply
    51,968x = 76,008 × 76,008
  4. Step 4: Simplify right side
    51,968x = 5,777,216,064
  5. Step 5: Solve for x
    x = 5,777,216,064/51,968
  6. Step 6: Final answer
    x = 111,168.72

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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.