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Finding the Third Proportional to 41,856 and 90,351

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Solution

The third proportional to 41,856 and 90,351 is: 195,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856 : 90,351 = 90,351 : x
  2. Step 2: Convert to fraction form
    41,856/90,351 = 90,351/x
  3. Step 3: Cross multiply
    41,856x = 90,351 × 90,351
  4. Step 4: Simplify right side
    41,856x = 8,163,303,201
  5. Step 5: Solve for x
    x = 8,163,303,201/41,856
  6. Step 6: Final answer
    x = 195,033.05

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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.