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Finding the Third Proportional to 86,082 and 203,534

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Solution

The third proportional to 86,082 and 203,534 is: 481,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,082 : 203,534 = 203,534 : x
  2. Step 2: Convert to fraction form
    86,082/203,534 = 203,534/x
  3. Step 3: Cross multiply
    86,082x = 203,534 × 203,534
  4. Step 4: Simplify right side
    86,082x = 41,426,089,156
  5. Step 5: Solve for x
    x = 41,426,089,156/86,082
  6. Step 6: Final answer
    x = 481,239.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.