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Finding the Third Proportional to 134,595 and 196,049.25

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Solution

The third proportional to 134,595 and 196,049.25 is: 285,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,595 : 196,049.25 = 196,049.25 : x
  2. Step 2: Convert to fraction form
    134,595/196,049.25 = 196,049.25/x
  3. Step 3: Cross multiply
    134,595x = 196,049.25 × 196,049.25
  4. Step 4: Simplify right side
    134,595x = 38,435,308,425.56
  5. Step 5: Solve for x
    x = 38,435,308,425.56/134,595
  6. Step 6: Final answer
    x = 285,562.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.