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Finding the Third Proportional to 129,264 and 194,544

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Solution

The third proportional to 129,264 and 194,544 is: 292,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,264 : 194,544 = 194,544 : x
  2. Step 2: Convert to fraction form
    129,264/194,544 = 194,544/x
  3. Step 3: Cross multiply
    129,264x = 194,544 × 194,544
  4. Step 4: Simplify right side
    129,264x = 37,847,367,936
  5. Step 5: Solve for x
    x = 37,847,367,936/129,264
  6. Step 6: Final answer
    x = 292,791.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.