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Finding the Third Proportional to 73,698 and 173,241

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Solution

The third proportional to 73,698 and 173,241 is: 407,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,698 : 173,241 = 173,241 : x
  2. Step 2: Convert to fraction form
    73,698/173,241 = 173,241/x
  3. Step 3: Cross multiply
    73,698x = 173,241 × 173,241
  4. Step 4: Simplify right side
    73,698x = 30,012,444,081
  5. Step 5: Solve for x
    x = 30,012,444,081/73,698
  6. Step 6: Final answer
    x = 407,235.53

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.