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Finding the Third Proportional to 125,961 and 188,269

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Solution

The third proportional to 125,961 and 188,269 is: 281,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,961 : 188,269 = 188,269 : x
  2. Step 2: Convert to fraction form
    125,961/188,269 = 188,269/x
  3. Step 3: Cross multiply
    125,961x = 188,269 × 188,269
  4. Step 4: Simplify right side
    125,961x = 35,445,216,361
  5. Step 5: Solve for x
    x = 35,445,216,361/125,961
  6. Step 6: Final answer
    x = 281,398.34

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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.