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Finding the Third Proportional to 103,942 and 167,397

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Solution

The third proportional to 103,942 and 167,397 is: 269,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,942 : 167,397 = 167,397 : x
  2. Step 2: Convert to fraction form
    103,942/167,397 = 167,397/x
  3. Step 3: Cross multiply
    103,942x = 167,397 × 167,397
  4. Step 4: Simplify right side
    103,942x = 28,021,755,609
  5. Step 5: Solve for x
    x = 28,021,755,609/103,942
  6. Step 6: Final answer
    x = 269,590.31

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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.