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Finding the Third Proportional to 103,975 and 167,447

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Solution

The third proportional to 103,975 and 167,447 is: 269,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,975 : 167,447 = 167,447 : x
  2. Step 2: Convert to fraction form
    103,975/167,447 = 167,447/x
  3. Step 3: Cross multiply
    103,975x = 167,447 × 167,447
  4. Step 4: Simplify right side
    103,975x = 28,038,497,809
  5. Step 5: Solve for x
    x = 28,038,497,809/103,975
  6. Step 6: Final answer
    x = 269,665.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.