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Finding the Third Proportional to 49,456 and 109,968

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Solution

The third proportional to 49,456 and 109,968 is: 244,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,456 : 109,968 = 109,968 : x
  2. Step 2: Convert to fraction form
    49,456/109,968 = 109,968/x
  3. Step 3: Cross multiply
    49,456x = 109,968 × 109,968
  4. Step 4: Simplify right side
    49,456x = 12,092,961,024
  5. Step 5: Solve for x
    x = 12,092,961,024/49,456
  6. Step 6: Final answer
    x = 244,519.59

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.