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Finding the Third Proportional to 41,234.50 and 90,029

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Solution

The third proportional to 41,234.50 and 90,029 is: 196,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,234.50 : 90,029 = 90,029 : x
  2. Step 2: Convert to fraction form
    41,234.50/90,029 = 90,029/x
  3. Step 3: Cross multiply
    41,234.50x = 90,029 × 90,029
  4. Step 4: Simplify right side
    41,234.50x = 8,105,220,841
  5. Step 5: Solve for x
    x = 8,105,220,841/41,234.50
  6. Step 6: Final answer
    x = 196,564.06

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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.