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Finding the Third Proportional to 131,441 and 196,939

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Solution

The third proportional to 131,441 and 196,939 is: 295,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,441 : 196,939 = 196,939 : x
  2. Step 2: Convert to fraction form
    131,441/196,939 = 196,939/x
  3. Step 3: Cross multiply
    131,441x = 196,939 × 196,939
  4. Step 4: Simplify right side
    131,441x = 38,784,969,721
  5. Step 5: Solve for x
    x = 38,784,969,721/131,441
  6. Step 6: Final answer
    x = 295,075.13

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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.