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Finding the Third Proportional to 134,082 and 213,425

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Solution

The third proportional to 134,082 and 213,425 is: 339,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,082 : 213,425 = 213,425 : x
  2. Step 2: Convert to fraction form
    134,082/213,425 = 213,425/x
  3. Step 3: Cross multiply
    134,082x = 213,425 × 213,425
  4. Step 4: Simplify right side
    134,082x = 45,550,230,625
  5. Step 5: Solve for x
    x = 45,550,230,625/134,082
  6. Step 6: Final answer
    x = 339,719.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.