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Finding the Third Proportional to 41,222 and 90,220

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Solution

The third proportional to 41,222 and 90,220 is: 197,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,222 : 90,220 = 90,220 : x
  2. Step 2: Convert to fraction form
    41,222/90,220 = 90,220/x
  3. Step 3: Cross multiply
    41,222x = 90,220 × 90,220
  4. Step 4: Simplify right side
    41,222x = 8,139,648,400
  5. Step 5: Solve for x
    x = 8,139,648,400/41,222
  6. Step 6: Final answer
    x = 197,458.84

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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.