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Finding the Third Proportional to 73,226 and 111,243

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Solution

The third proportional to 73,226 and 111,243 is: 168,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,226 : 111,243 = 111,243 : x
  2. Step 2: Convert to fraction form
    73,226/111,243 = 111,243/x
  3. Step 3: Cross multiply
    73,226x = 111,243 × 111,243
  4. Step 4: Simplify right side
    73,226x = 12,375,005,049
  5. Step 5: Solve for x
    x = 12,375,005,049/73,226
  6. Step 6: Final answer
    x = 168,997.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.