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Finding the Third Proportional to 133,022.25 and 174,372.75

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Solution

The third proportional to 133,022.25 and 174,372.75 is: 228,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,022.25 : 174,372.75 = 174,372.75 : x
  2. Step 2: Convert to fraction form
    133,022.25/174,372.75 = 174,372.75/x
  3. Step 3: Cross multiply
    133,022.25x = 174,372.75 × 174,372.75
  4. Step 4: Simplify right side
    133,022.25x = 30,405,855,942.56
  5. Step 5: Solve for x
    x = 30,405,855,942.56/133,022.25
  6. Step 6: Final answer
    x = 228,577.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.