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Finding the Third Proportional to 48,081 and 104,629

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Solution

The third proportional to 48,081 and 104,629 is: 227,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,081 : 104,629 = 104,629 : x
  2. Step 2: Convert to fraction form
    48,081/104,629 = 104,629/x
  3. Step 3: Cross multiply
    48,081x = 104,629 × 104,629
  4. Step 4: Simplify right side
    48,081x = 10,947,227,641
  5. Step 5: Solve for x
    x = 10,947,227,641/48,081
  6. Step 6: Final answer
    x = 227,683.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.