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Finding the Third Proportional to 41,184 and 98,208

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Solution

The third proportional to 41,184 and 98,208 is: 234,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,184 : 98,208 = 98,208 : x
  2. Step 2: Convert to fraction form
    41,184/98,208 = 98,208/x
  3. Step 3: Cross multiply
    41,184x = 98,208 × 98,208
  4. Step 4: Simplify right side
    41,184x = 9,644,811,264
  5. Step 5: Solve for x
    x = 9,644,811,264/41,184
  6. Step 6: Final answer
    x = 234,188.31

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.