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Finding the Third Proportional to 41,911 and 90,355

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Solution

The third proportional to 41,911 and 90,355 is: 194,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,911 : 90,355 = 90,355 : x
  2. Step 2: Convert to fraction form
    41,911/90,355 = 90,355/x
  3. Step 3: Cross multiply
    41,911x = 90,355 × 90,355
  4. Step 4: Simplify right side
    41,911x = 8,164,026,025
  5. Step 5: Solve for x
    x = 8,164,026,025/41,911
  6. Step 6: Final answer
    x = 194,794.35

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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.