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Finding the Third Proportional to 67,758 and 151,068

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Solution

The third proportional to 67,758 and 151,068 is: 336,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,758 : 151,068 = 151,068 : x
  2. Step 2: Convert to fraction form
    67,758/151,068 = 151,068/x
  3. Step 3: Cross multiply
    67,758x = 151,068 × 151,068
  4. Step 4: Simplify right side
    67,758x = 22,821,540,624
  5. Step 5: Solve for x
    x = 22,821,540,624/67,758
  6. Step 6: Final answer
    x = 336,809.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.