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Finding the Third Proportional to 48,249 and 104,749

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Solution

The third proportional to 48,249 and 104,749 is: 227,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,249 : 104,749 = 104,749 : x
  2. Step 2: Convert to fraction form
    48,249/104,749 = 104,749/x
  3. Step 3: Cross multiply
    48,249x = 104,749 × 104,749
  4. Step 4: Simplify right side
    48,249x = 10,972,353,001
  5. Step 5: Solve for x
    x = 10,972,353,001/48,249
  6. Step 6: Final answer
    x = 227,410.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.