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Finding the Third Proportional to 81,467 and 174,324

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Solution

The third proportional to 81,467 and 174,324 is: 373,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,467 : 174,324 = 174,324 : x
  2. Step 2: Convert to fraction form
    81,467/174,324 = 174,324/x
  3. Step 3: Cross multiply
    81,467x = 174,324 × 174,324
  4. Step 4: Simplify right side
    81,467x = 30,388,856,976
  5. Step 5: Solve for x
    x = 30,388,856,976/81,467
  6. Step 6: Final answer
    x = 373,020.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.