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Finding the Third Proportional to 125,675 and 271,027

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Solution

The third proportional to 125,675 and 271,027 is: 584,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,675 : 271,027 = 271,027 : x
  2. Step 2: Convert to fraction form
    125,675/271,027 = 271,027/x
  3. Step 3: Cross multiply
    125,675x = 271,027 × 271,027
  4. Step 4: Simplify right side
    125,675x = 73,455,634,729
  5. Step 5: Solve for x
    x = 73,455,634,729/125,675
  6. Step 6: Final answer
    x = 584,488.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.