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Finding the Third Proportional to 41,454 and 90,684

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Solution

The third proportional to 41,454 and 90,684 is: 198,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,454 : 90,684 = 90,684 : x
  2. Step 2: Convert to fraction form
    41,454/90,684 = 90,684/x
  3. Step 3: Cross multiply
    41,454x = 90,684 × 90,684
  4. Step 4: Simplify right side
    41,454x = 8,223,587,856
  5. Step 5: Solve for x
    x = 8,223,587,856/41,454
  6. Step 6: Final answer
    x = 198,378.63

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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.