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Finding the Third Proportional to 126,892 and 197,600

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Solution

The third proportional to 126,892 and 197,600 is: 307,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,892 : 197,600 = 197,600 : x
  2. Step 2: Convert to fraction form
    126,892/197,600 = 197,600/x
  3. Step 3: Cross multiply
    126,892x = 197,600 × 197,600
  4. Step 4: Simplify right side
    126,892x = 39,045,760,000
  5. Step 5: Solve for x
    x = 39,045,760,000/126,892
  6. Step 6: Final answer
    x = 307,708.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.