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Finding the Third Proportional to 125,286 and 171,801

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Solution

The third proportional to 125,286 and 171,801 is: 235,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,286 : 171,801 = 171,801 : x
  2. Step 2: Convert to fraction form
    125,286/171,801 = 171,801/x
  3. Step 3: Cross multiply
    125,286x = 171,801 × 171,801
  4. Step 4: Simplify right side
    125,286x = 29,515,583,601
  5. Step 5: Solve for x
    x = 29,515,583,601/125,286
  6. Step 6: Final answer
    x = 235,585.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.