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Finding the Third Proportional to 73,467 and 109,120.38

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Solution

The third proportional to 73,467 and 109,120.38 is: 162,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,467 : 109,120.38 = 109,120.38 : x
  2. Step 2: Convert to fraction form
    73,467/109,120.38 = 109,120.38/x
  3. Step 3: Cross multiply
    73,467x = 109,120.38 × 109,120.38
  4. Step 4: Simplify right side
    73,467x = 11,907,256,240.14
  5. Step 5: Solve for x
    x = 11,907,256,240.14/73,467
  6. Step 6: Final answer
    x = 162,076.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.