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Finding the Third Proportional to 48,003 and 104,741

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Solution

The third proportional to 48,003 and 104,741 is: 228,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,003 : 104,741 = 104,741 : x
  2. Step 2: Convert to fraction form
    48,003/104,741 = 104,741/x
  3. Step 3: Cross multiply
    48,003x = 104,741 × 104,741
  4. Step 4: Simplify right side
    48,003x = 10,970,677,081
  5. Step 5: Solve for x
    x = 10,970,677,081/48,003
  6. Step 6: Final answer
    x = 228,541.49

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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.