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Finding the Third Proportional to 113,867 and 173,816

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Solution

The third proportional to 113,867 and 173,816 is: 265,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,867 : 173,816 = 173,816 : x
  2. Step 2: Convert to fraction form
    113,867/173,816 = 173,816/x
  3. Step 3: Cross multiply
    113,867x = 173,816 × 173,816
  4. Step 4: Simplify right side
    113,867x = 30,212,001,856
  5. Step 5: Solve for x
    x = 30,212,001,856/113,867
  6. Step 6: Final answer
    x = 265,327.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.