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Finding the Third Proportional to 43,137 and 96,318

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Solution

The third proportional to 43,137 and 96,318 is: 215,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,137 : 96,318 = 96,318 : x
  2. Step 2: Convert to fraction form
    43,137/96,318 = 96,318/x
  3. Step 3: Cross multiply
    43,137x = 96,318 × 96,318
  4. Step 4: Simplify right side
    43,137x = 9,277,157,124
  5. Step 5: Solve for x
    x = 9,277,157,124/43,137
  6. Step 6: Final answer
    x = 215,062.64

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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.