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Finding the Third Proportional to 48,724 and 104,980

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Solution

The third proportional to 48,724 and 104,980 is: 226,188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,724 : 104,980 = 104,980 : x
  2. Step 2: Convert to fraction form
    48,724/104,980 = 104,980/x
  3. Step 3: Cross multiply
    48,724x = 104,980 × 104,980
  4. Step 4: Simplify right side
    48,724x = 11,020,800,400
  5. Step 5: Solve for x
    x = 11,020,800,400/48,724
  6. Step 6: Final answer
    x = 226,188.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.