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Finding the Third Proportional to 45,806 and 96,530

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Solution

The third proportional to 45,806 and 96,530 is: 203,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,806 : 96,530 = 96,530 : x
  2. Step 2: Convert to fraction form
    45,806/96,530 = 96,530/x
  3. Step 3: Cross multiply
    45,806x = 96,530 × 96,530
  4. Step 4: Simplify right side
    45,806x = 9,318,040,900
  5. Step 5: Solve for x
    x = 9,318,040,900/45,806
  6. Step 6: Final answer
    x = 203,424.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.