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Finding the Third Proportional to 41,412 and 90,024

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Solution

The third proportional to 41,412 and 90,024 is: 195,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,412 : 90,024 = 90,024 : x
  2. Step 2: Convert to fraction form
    41,412/90,024 = 90,024/x
  3. Step 3: Cross multiply
    41,412x = 90,024 × 90,024
  4. Step 4: Simplify right side
    41,412x = 8,104,320,576
  5. Step 5: Solve for x
    x = 8,104,320,576/41,412
  6. Step 6: Final answer
    x = 195,699.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.