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Finding the Third Proportional to 123,852 and 204,909

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Solution

The third proportional to 123,852 and 204,909 is: 339,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,852 : 204,909 = 204,909 : x
  2. Step 2: Convert to fraction form
    123,852/204,909 = 204,909/x
  3. Step 3: Cross multiply
    123,852x = 204,909 × 204,909
  4. Step 4: Simplify right side
    123,852x = 41,987,698,281
  5. Step 5: Solve for x
    x = 41,987,698,281/123,852
  6. Step 6: Final answer
    x = 339,015.10

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.