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Finding the Third Proportional to 47,968 and 75,900

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Solution

The third proportional to 47,968 and 75,900 is: 120,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,968 : 75,900 = 75,900 : x
  2. Step 2: Convert to fraction form
    47,968/75,900 = 75,900/x
  3. Step 3: Cross multiply
    47,968x = 75,900 × 75,900
  4. Step 4: Simplify right side
    47,968x = 5,760,810,000
  5. Step 5: Solve for x
    x = 5,760,810,000/47,968
  6. Step 6: Final answer
    x = 120,096.94

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.