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Finding the Third Proportional to 47,214 and 96,615

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Solution

The third proportional to 47,214 and 96,615 is: 197,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,214 : 96,615 = 96,615 : x
  2. Step 2: Convert to fraction form
    47,214/96,615 = 96,615/x
  3. Step 3: Cross multiply
    47,214x = 96,615 × 96,615
  4. Step 4: Simplify right side
    47,214x = 9,334,458,225
  5. Step 5: Solve for x
    x = 9,334,458,225/47,214
  6. Step 6: Final answer
    x = 197,705.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.