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Finding the Third Proportional to 103,983 and 158,163

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Solution

The third proportional to 103,983 and 158,163 is: 240,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,983 : 158,163 = 158,163 : x
  2. Step 2: Convert to fraction form
    103,983/158,163 = 158,163/x
  3. Step 3: Cross multiply
    103,983x = 158,163 × 158,163
  4. Step 4: Simplify right side
    103,983x = 25,015,534,569
  5. Step 5: Solve for x
    x = 25,015,534,569/103,983
  6. Step 6: Final answer
    x = 240,573.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.