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Finding the Third Proportional to 131,405 and 187,907

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Solution

The third proportional to 131,405 and 187,907 is: 268,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,405 : 187,907 = 187,907 : x
  2. Step 2: Convert to fraction form
    131,405/187,907 = 187,907/x
  3. Step 3: Cross multiply
    131,405x = 187,907 × 187,907
  4. Step 4: Simplify right side
    131,405x = 35,309,040,649
  5. Step 5: Solve for x
    x = 35,309,040,649/131,405
  6. Step 6: Final answer
    x = 268,703.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.