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Finding the Third Proportional to 129,040 and 194,856

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Solution

The third proportional to 129,040 and 194,856 is: 294,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,040 : 194,856 = 194,856 : x
  2. Step 2: Convert to fraction form
    129,040/194,856 = 194,856/x
  3. Step 3: Cross multiply
    129,040x = 194,856 × 194,856
  4. Step 4: Simplify right side
    129,040x = 37,968,860,736
  5. Step 5: Solve for x
    x = 37,968,860,736/129,040
  6. Step 6: Final answer
    x = 294,241.02

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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.