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Finding the Third Proportional to 103,992 and 167,460

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Solution

The third proportional to 103,992 and 167,460 is: 269,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,992 : 167,460 = 167,460 : x
  2. Step 2: Convert to fraction form
    103,992/167,460 = 167,460/x
  3. Step 3: Cross multiply
    103,992x = 167,460 × 167,460
  4. Step 4: Simplify right side
    103,992x = 28,042,851,600
  5. Step 5: Solve for x
    x = 28,042,851,600/103,992
  6. Step 6: Final answer
    x = 269,663.55

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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.