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Finding the Third Proportional to 43,674 and 102,664.50

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Solution

The third proportional to 43,674 and 102,664.50 is: 241,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,674 : 102,664.50 = 102,664.50 : x
  2. Step 2: Convert to fraction form
    43,674/102,664.50 = 102,664.50/x
  3. Step 3: Cross multiply
    43,674x = 102,664.50 × 102,664.50
  4. Step 4: Simplify right side
    43,674x = 10,539,999,560.25
  5. Step 5: Solve for x
    x = 10,539,999,560.25/43,674
  6. Step 6: Final answer
    x = 241,333.51

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Why These Related Problems?

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