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Finding the Third Proportional to 48,212 and 104,992

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Solution

The third proportional to 48,212 and 104,992 is: 228,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,212 : 104,992 = 104,992 : x
  2. Step 2: Convert to fraction form
    48,212/104,992 = 104,992/x
  3. Step 3: Cross multiply
    48,212x = 104,992 × 104,992
  4. Step 4: Simplify right side
    48,212x = 11,023,320,064
  5. Step 5: Solve for x
    x = 11,023,320,064/48,212
  6. Step 6: Final answer
    x = 228,642.66

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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.