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Finding the Third Proportional to 27,203 and 57,669

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Solution

The third proportional to 27,203 and 57,669 is: 122,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,203 : 57,669 = 57,669 : x
  2. Step 2: Convert to fraction form
    27,203/57,669 = 57,669/x
  3. Step 3: Cross multiply
    27,203x = 57,669 × 57,669
  4. Step 4: Simplify right side
    27,203x = 3,325,713,561
  5. Step 5: Solve for x
    x = 3,325,713,561/27,203
  6. Step 6: Final answer
    x = 122,255.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.