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Finding the Third Proportional to 129,244 and 188,853

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Solution

The third proportional to 129,244 and 188,853 is: 275,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,244 : 188,853 = 188,853 : x
  2. Step 2: Convert to fraction form
    129,244/188,853 = 188,853/x
  3. Step 3: Cross multiply
    129,244x = 188,853 × 188,853
  4. Step 4: Simplify right side
    129,244x = 35,665,455,609
  5. Step 5: Solve for x
    x = 35,665,455,609/129,244
  6. Step 6: Final answer
    x = 275,954.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.