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Finding the Third Proportional to 64,269 and 131,670

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Solution

The third proportional to 64,269 and 131,670 is: 269,756.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,269 : 131,670 = 131,670 : x
  2. Step 2: Convert to fraction form
    64,269/131,670 = 131,670/x
  3. Step 3: Cross multiply
    64,269x = 131,670 × 131,670
  4. Step 4: Simplify right side
    64,269x = 17,336,988,900
  5. Step 5: Solve for x
    x = 17,336,988,900/64,269
  6. Step 6: Final answer
    x = 269,756.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.