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Finding the Third Proportional to 103,443 and 158,175

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Solution

The third proportional to 103,443 and 158,175 is: 241,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,443 : 158,175 = 158,175 : x
  2. Step 2: Convert to fraction form
    103,443/158,175 = 158,175/x
  3. Step 3: Cross multiply
    103,443x = 158,175 × 158,175
  4. Step 4: Simplify right side
    103,443x = 25,019,330,625
  5. Step 5: Solve for x
    x = 25,019,330,625/103,443
  6. Step 6: Final answer
    x = 241,865.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.