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Finding the Third Proportional to 41,094 and 90,270

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Solution

The third proportional to 41,094 and 90,270 is: 198,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,094 : 90,270 = 90,270 : x
  2. Step 2: Convert to fraction form
    41,094/90,270 = 90,270/x
  3. Step 3: Cross multiply
    41,094x = 90,270 × 90,270
  4. Step 4: Simplify right side
    41,094x = 8,148,672,900
  5. Step 5: Solve for x
    x = 8,148,672,900/41,094
  6. Step 6: Final answer
    x = 198,293.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.