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Finding the Third Proportional to 95,082 and 203,658

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Solution

The third proportional to 95,082 and 203,658 is: 436,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,082 : 203,658 = 203,658 : x
  2. Step 2: Convert to fraction form
    95,082/203,658 = 203,658/x
  3. Step 3: Cross multiply
    95,082x = 203,658 × 203,658
  4. Step 4: Simplify right side
    95,082x = 41,476,580,964
  5. Step 5: Solve for x
    x = 41,476,580,964/95,082
  6. Step 6: Final answer
    x = 436,219.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.