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Finding the Third Proportional to 47,968 and 105,452

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Solution

The third proportional to 47,968 and 105,452 is: 231,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,968 : 105,452 = 105,452 : x
  2. Step 2: Convert to fraction form
    47,968/105,452 = 105,452/x
  3. Step 3: Cross multiply
    47,968x = 105,452 × 105,452
  4. Step 4: Simplify right side
    47,968x = 11,120,124,304
  5. Step 5: Solve for x
    x = 11,120,124,304/47,968
  6. Step 6: Final answer
    x = 231,823.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.