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Finding the Third Proportional to 48,669 and 104,933

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Solution

The third proportional to 48,669 and 104,933 is: 226,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,669 : 104,933 = 104,933 : x
  2. Step 2: Convert to fraction form
    48,669/104,933 = 104,933/x
  3. Step 3: Cross multiply
    48,669x = 104,933 × 104,933
  4. Step 4: Simplify right side
    48,669x = 11,010,934,489
  5. Step 5: Solve for x
    x = 11,010,934,489/48,669
  6. Step 6: Final answer
    x = 226,241.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.