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Finding the Third Proportional to 75,198 and 109,243

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Solution

The third proportional to 75,198 and 109,243 is: 158,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,198 : 109,243 = 109,243 : x
  2. Step 2: Convert to fraction form
    75,198/109,243 = 109,243/x
  3. Step 3: Cross multiply
    75,198x = 109,243 × 109,243
  4. Step 4: Simplify right side
    75,198x = 11,934,033,049
  5. Step 5: Solve for x
    x = 11,934,033,049/75,198
  6. Step 6: Final answer
    x = 158,701.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.