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Finding the Third Proportional to 47,530 and 96,212

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Solution

The third proportional to 47,530 and 96,212 is: 194,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,530 : 96,212 = 96,212 : x
  2. Step 2: Convert to fraction form
    47,530/96,212 = 96,212/x
  3. Step 3: Cross multiply
    47,530x = 96,212 × 96,212
  4. Step 4: Simplify right side
    47,530x = 9,256,748,944
  5. Step 5: Solve for x
    x = 9,256,748,944/47,530
  6. Step 6: Final answer
    x = 194,755.92

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.