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Finding the Third Proportional to 58,067 and 127,203

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Solution

The third proportional to 58,067 and 127,203 is: 278,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,067 : 127,203 = 127,203 : x
  2. Step 2: Convert to fraction form
    58,067/127,203 = 127,203/x
  3. Step 3: Cross multiply
    58,067x = 127,203 × 127,203
  4. Step 4: Simplify right side
    58,067x = 16,180,603,209
  5. Step 5: Solve for x
    x = 16,180,603,209/58,067
  6. Step 6: Final answer
    x = 278,654.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.