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Finding the Third Proportional to 41,220 and 90,054

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Solution

The third proportional to 41,220 and 90,054 is: 196,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,220 : 90,054 = 90,054 : x
  2. Step 2: Convert to fraction form
    41,220/90,054 = 90,054/x
  3. Step 3: Cross multiply
    41,220x = 90,054 × 90,054
  4. Step 4: Simplify right side
    41,220x = 8,109,722,916
  5. Step 5: Solve for x
    x = 8,109,722,916/41,220
  6. Step 6: Final answer
    x = 196,742.43

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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.