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Finding the Third Proportional to 48,288 and 100,992

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Solution

The third proportional to 48,288 and 100,992 is: 211,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,288 : 100,992 = 100,992 : x
  2. Step 2: Convert to fraction form
    48,288/100,992 = 100,992/x
  3. Step 3: Cross multiply
    48,288x = 100,992 × 100,992
  4. Step 4: Simplify right side
    48,288x = 10,199,384,064
  5. Step 5: Solve for x
    x = 10,199,384,064/48,288
  6. Step 6: Final answer
    x = 211,219.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.