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Finding the Third Proportional to 100,456 and 151,979

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Solution

The third proportional to 100,456 and 151,979 is: 229,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,456 : 151,979 = 151,979 : x
  2. Step 2: Convert to fraction form
    100,456/151,979 = 151,979/x
  3. Step 3: Cross multiply
    100,456x = 151,979 × 151,979
  4. Step 4: Simplify right side
    100,456x = 23,097,616,441
  5. Step 5: Solve for x
    x = 23,097,616,441/100,456
  6. Step 6: Final answer
    x = 229,927.69

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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.