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Finding the Third Proportional to 101,243 and 204,627

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Solution

The third proportional to 101,243 and 204,627 is: 413,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,243 : 204,627 = 204,627 : x
  2. Step 2: Convert to fraction form
    101,243/204,627 = 204,627/x
  3. Step 3: Cross multiply
    101,243x = 204,627 × 204,627
  4. Step 4: Simplify right side
    101,243x = 41,872,209,129
  5. Step 5: Solve for x
    x = 41,872,209,129/101,243
  6. Step 6: Final answer
    x = 413,581.28

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.