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Finding the Third Proportional to 125,952 and 188,256

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Solution

The third proportional to 125,952 and 188,256 is: 281,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,952 : 188,256 = 188,256 : x
  2. Step 2: Convert to fraction form
    125,952/188,256 = 188,256/x
  3. Step 3: Cross multiply
    125,952x = 188,256 × 188,256
  4. Step 4: Simplify right side
    125,952x = 35,440,321,536
  5. Step 5: Solve for x
    x = 35,440,321,536/125,952
  6. Step 6: Final answer
    x = 281,379.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.