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Finding the Third Proportional to 125,698 and 271,074

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Solution

The third proportional to 125,698 and 271,074 is: 584,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,698 : 271,074 = 271,074 : x
  2. Step 2: Convert to fraction form
    125,698/271,074 = 271,074/x
  3. Step 3: Cross multiply
    125,698x = 271,074 × 271,074
  4. Step 4: Simplify right side
    125,698x = 73,481,113,476
  5. Step 5: Solve for x
    x = 73,481,113,476/125,698
  6. Step 6: Final answer
    x = 584,584.59

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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.