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Finding the Third Proportional to 41,814 and 90,444

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Solution

The third proportional to 41,814 and 90,444 is: 195,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,814 : 90,444 = 90,444 : x
  2. Step 2: Convert to fraction form
    41,814/90,444 = 90,444/x
  3. Step 3: Cross multiply
    41,814x = 90,444 × 90,444
  4. Step 4: Simplify right side
    41,814x = 8,180,117,136
  5. Step 5: Solve for x
    x = 8,180,117,136/41,814
  6. Step 6: Final answer
    x = 195,631.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.