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Finding the Third Proportional to 113,867 and 170,274

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Solution

The third proportional to 113,867 and 170,274 is: 254,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,867 : 170,274 = 170,274 : x
  2. Step 2: Convert to fraction form
    113,867/170,274 = 170,274/x
  3. Step 3: Cross multiply
    113,867x = 170,274 × 170,274
  4. Step 4: Simplify right side
    113,867x = 28,993,235,076
  5. Step 5: Solve for x
    x = 28,993,235,076/113,867
  6. Step 6: Final answer
    x = 254,623.68

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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.