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Finding the Third Proportional to 115,782 and 173,241

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Solution

The third proportional to 115,782 and 173,241 is: 259,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,782 : 173,241 = 173,241 : x
  2. Step 2: Convert to fraction form
    115,782/173,241 = 173,241/x
  3. Step 3: Cross multiply
    115,782x = 173,241 × 173,241
  4. Step 4: Simplify right side
    115,782x = 30,012,444,081
  5. Step 5: Solve for x
    x = 30,012,444,081/115,782
  6. Step 6: Final answer
    x = 259,215.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.