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Finding the Third Proportional to 100,443 and 151,961

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Solution

The third proportional to 100,443 and 151,961 is: 229,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,443 : 151,961 = 151,961 : x
  2. Step 2: Convert to fraction form
    100,443/151,961 = 151,961/x
  3. Step 3: Cross multiply
    100,443x = 151,961 × 151,961
  4. Step 4: Simplify right side
    100,443x = 23,092,145,521
  5. Step 5: Solve for x
    x = 23,092,145,521/100,443
  6. Step 6: Final answer
    x = 229,902.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.