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Finding the Third Proportional to 97,563 and 202,524

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Solution

The third proportional to 97,563 and 202,524 is: 420,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,563 : 202,524 = 202,524 : x
  2. Step 2: Convert to fraction form
    97,563/202,524 = 202,524/x
  3. Step 3: Cross multiply
    97,563x = 202,524 × 202,524
  4. Step 4: Simplify right side
    97,563x = 41,015,970,576
  5. Step 5: Solve for x
    x = 41,015,970,576/97,563
  6. Step 6: Final answer
    x = 420,404.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.