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Finding the Third Proportional to 41,550 and 90,619

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Solution

The third proportional to 41,550 and 90,619 is: 197,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,550 : 90,619 = 90,619 : x
  2. Step 2: Convert to fraction form
    41,550/90,619 = 90,619/x
  3. Step 3: Cross multiply
    41,550x = 90,619 × 90,619
  4. Step 4: Simplify right side
    41,550x = 8,211,803,161
  5. Step 5: Solve for x
    x = 8,211,803,161/41,550
  6. Step 6: Final answer
    x = 197,636.66

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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.