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Finding the Third Proportional to 41,426 and 90,208

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Solution

The third proportional to 41,426 and 90,208 is: 196,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,426 : 90,208 = 90,208 : x
  2. Step 2: Convert to fraction form
    41,426/90,208 = 90,208/x
  3. Step 3: Cross multiply
    41,426x = 90,208 × 90,208
  4. Step 4: Simplify right side
    41,426x = 8,137,483,264
  5. Step 5: Solve for x
    x = 8,137,483,264/41,426
  6. Step 6: Final answer
    x = 196,434.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.