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Finding the Third Proportional to 103,682 and 160,383

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Solution

The third proportional to 103,682 and 160,383 is: 248,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 160,383 = 160,383 : x
  2. Step 2: Convert to fraction form
    103,682/160,383 = 160,383/x
  3. Step 3: Cross multiply
    103,682x = 160,383 × 160,383
  4. Step 4: Simplify right side
    103,682x = 25,722,706,689
  5. Step 5: Solve for x
    x = 25,722,706,689/103,682
  6. Step 6: Final answer
    x = 248,092.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.