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Finding the Third Proportional to 90,576 and 195,024

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Solution

The third proportional to 90,576 and 195,024 is: 419,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,576 : 195,024 = 195,024 : x
  2. Step 2: Convert to fraction form
    90,576/195,024 = 195,024/x
  3. Step 3: Cross multiply
    90,576x = 195,024 × 195,024
  4. Step 4: Simplify right side
    90,576x = 38,034,360,576
  5. Step 5: Solve for x
    x = 38,034,360,576/90,576
  6. Step 6: Final answer
    x = 419,916.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.