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Finding the Third Proportional to 133,174 and 179,427

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Solution

The third proportional to 133,174 and 179,427 is: 241,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,174 : 179,427 = 179,427 : x
  2. Step 2: Convert to fraction form
    133,174/179,427 = 179,427/x
  3. Step 3: Cross multiply
    133,174x = 179,427 × 179,427
  4. Step 4: Simplify right side
    133,174x = 32,194,048,329
  5. Step 5: Solve for x
    x = 32,194,048,329/133,174
  6. Step 6: Final answer
    x = 241,744.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.