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Finding the Third Proportional to 41,635 and 91,179

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Solution

The third proportional to 41,635 and 91,179 is: 199,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,635 : 91,179 = 91,179 : x
  2. Step 2: Convert to fraction form
    41,635/91,179 = 91,179/x
  3. Step 3: Cross multiply
    41,635x = 91,179 × 91,179
  4. Step 4: Simplify right side
    41,635x = 8,313,610,041
  5. Step 5: Solve for x
    x = 8,313,610,041/41,635
  6. Step 6: Final answer
    x = 199,678.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.