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Finding the Third Proportional to 43,672 and 102,659.50

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Solution

The third proportional to 43,672 and 102,659.50 is: 241,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,672 : 102,659.50 = 102,659.50 : x
  2. Step 2: Convert to fraction form
    43,672/102,659.50 = 102,659.50/x
  3. Step 3: Cross multiply
    43,672x = 102,659.50 × 102,659.50
  4. Step 4: Simplify right side
    43,672x = 10,538,972,940.25
  5. Step 5: Solve for x
    x = 10,538,972,940.25/43,672
  6. Step 6: Final answer
    x = 241,321.05

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.