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Finding the Third Proportional to 105,203 and 162,975

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Solution

The third proportional to 105,203 and 162,975 is: 252,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,203 : 162,975 = 162,975 : x
  2. Step 2: Convert to fraction form
    105,203/162,975 = 162,975/x
  3. Step 3: Cross multiply
    105,203x = 162,975 × 162,975
  4. Step 4: Simplify right side
    105,203x = 26,560,850,625
  5. Step 5: Solve for x
    x = 26,560,850,625/105,203
  6. Step 6: Final answer
    x = 252,472.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.