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Finding the Third Proportional to 63,197.25 and 135,021

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Solution

The third proportional to 63,197.25 and 135,021 is: 288,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,197.25 : 135,021 = 135,021 : x
  2. Step 2: Convert to fraction form
    63,197.25/135,021 = 135,021/x
  3. Step 3: Cross multiply
    63,197.25x = 135,021 × 135,021
  4. Step 4: Simplify right side
    63,197.25x = 18,230,670,441
  5. Step 5: Solve for x
    x = 18,230,670,441/63,197.25
  6. Step 6: Final answer
    x = 288,472.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.