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Finding the Third Proportional to 48,002 and 104,739

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Solution

The third proportional to 48,002 and 104,739 is: 228,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,002 : 104,739 = 104,739 : x
  2. Step 2: Convert to fraction form
    48,002/104,739 = 104,739/x
  3. Step 3: Cross multiply
    48,002x = 104,739 × 104,739
  4. Step 4: Simplify right side
    48,002x = 10,970,258,121
  5. Step 5: Solve for x
    x = 10,970,258,121/48,002
  6. Step 6: Final answer
    x = 228,537.52

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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.