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Finding the Third Proportional to 129,775.50 and 197,100

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Solution

The third proportional to 129,775.50 and 197,100 is: 299,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,775.50 : 197,100 = 197,100 : x
  2. Step 2: Convert to fraction form
    129,775.50/197,100 = 197,100/x
  3. Step 3: Cross multiply
    129,775.50x = 197,100 × 197,100
  4. Step 4: Simplify right side
    129,775.50x = 38,848,410,000
  5. Step 5: Solve for x
    x = 38,848,410,000/129,775.50
  6. Step 6: Final answer
    x = 299,350.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.