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Finding the Third Proportional to 41,809.50 and 90,261

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Solution

The third proportional to 41,809.50 and 90,261 is: 194,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,809.50 : 90,261 = 90,261 : x
  2. Step 2: Convert to fraction form
    41,809.50/90,261 = 90,261/x
  3. Step 3: Cross multiply
    41,809.50x = 90,261 × 90,261
  4. Step 4: Simplify right side
    41,809.50x = 8,147,048,121
  5. Step 5: Solve for x
    x = 8,147,048,121/41,809.50
  6. Step 6: Final answer
    x = 194,861.17

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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.