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Finding the Third Proportional to 43,104 and 96,288

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Solution

The third proportional to 43,104 and 96,288 is: 215,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,104 : 96,288 = 96,288 : x
  2. Step 2: Convert to fraction form
    43,104/96,288 = 96,288/x
  3. Step 3: Cross multiply
    43,104x = 96,288 × 96,288
  4. Step 4: Simplify right side
    43,104x = 9,271,378,944
  5. Step 5: Solve for x
    x = 9,271,378,944/43,104
  6. Step 6: Final answer
    x = 215,093.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.