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Finding the Third Proportional to 64,800 and 134,094

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Solution

The third proportional to 64,800 and 134,094 is: 277,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,800 : 134,094 = 134,094 : x
  2. Step 2: Convert to fraction form
    64,800/134,094 = 134,094/x
  3. Step 3: Cross multiply
    64,800x = 134,094 × 134,094
  4. Step 4: Simplify right side
    64,800x = 17,981,200,836
  5. Step 5: Solve for x
    x = 17,981,200,836/64,800
  6. Step 6: Final answer
    x = 277,487.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.