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Finding the Third Proportional to 41,176 and 96,214

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Solution

The third proportional to 41,176 and 96,214 is: 224,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,176 : 96,214 = 96,214 : x
  2. Step 2: Convert to fraction form
    41,176/96,214 = 96,214/x
  3. Step 3: Cross multiply
    41,176x = 96,214 × 96,214
  4. Step 4: Simplify right side
    41,176x = 9,257,133,796
  5. Step 5: Solve for x
    x = 9,257,133,796/41,176
  6. Step 6: Final answer
    x = 224,818.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.