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Finding the Third Proportional to 125,686 and 271,052

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Solution

The third proportional to 125,686 and 271,052 is: 584,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,686 : 271,052 = 271,052 : x
  2. Step 2: Convert to fraction form
    125,686/271,052 = 271,052/x
  3. Step 3: Cross multiply
    125,686x = 271,052 × 271,052
  4. Step 4: Simplify right side
    125,686x = 73,469,186,704
  5. Step 5: Solve for x
    x = 73,469,186,704/125,686
  6. Step 6: Final answer
    x = 584,545.51

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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.