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Finding the Third Proportional to 41,621 and 91,725

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Solution

The third proportional to 41,621 and 91,725 is: 202,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,621 : 91,725 = 91,725 : x
  2. Step 2: Convert to fraction form
    41,621/91,725 = 91,725/x
  3. Step 3: Cross multiply
    41,621x = 91,725 × 91,725
  4. Step 4: Simplify right side
    41,621x = 8,413,475,625
  5. Step 5: Solve for x
    x = 8,413,475,625/41,621
  6. Step 6: Final answer
    x = 202,144.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.