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Finding the Third Proportional to 131,754 and 197,271

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Solution

The third proportional to 131,754 and 197,271 is: 295,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,754 : 197,271 = 197,271 : x
  2. Step 2: Convert to fraction form
    131,754/197,271 = 197,271/x
  3. Step 3: Cross multiply
    131,754x = 197,271 × 197,271
  4. Step 4: Simplify right side
    131,754x = 38,915,847,441
  5. Step 5: Solve for x
    x = 38,915,847,441/131,754
  6. Step 6: Final answer
    x = 295,367.48

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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.