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Finding the Third Proportional to 65,970 and 134,244

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Solution

The third proportional to 65,970 and 134,244 is: 273,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,970 : 134,244 = 134,244 : x
  2. Step 2: Convert to fraction form
    65,970/134,244 = 134,244/x
  3. Step 3: Cross multiply
    65,970x = 134,244 × 134,244
  4. Step 4: Simplify right side
    65,970x = 18,021,451,536
  5. Step 5: Solve for x
    x = 18,021,451,536/65,970
  6. Step 6: Final answer
    x = 273,176.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.