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Finding the Third Proportional to 129,956 and 194,400

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Solution

The third proportional to 129,956 and 194,400 is: 290,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,956 : 194,400 = 194,400 : x
  2. Step 2: Convert to fraction form
    129,956/194,400 = 194,400/x
  3. Step 3: Cross multiply
    129,956x = 194,400 × 194,400
  4. Step 4: Simplify right side
    129,956x = 37,791,360,000
  5. Step 5: Solve for x
    x = 37,791,360,000/129,956
  6. Step 6: Final answer
    x = 290,801.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.