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Finding the Third Proportional to 131,991 and 212,514

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Solution

The third proportional to 131,991 and 212,514 is: 342,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,991 : 212,514 = 212,514 : x
  2. Step 2: Convert to fraction form
    131,991/212,514 = 212,514/x
  3. Step 3: Cross multiply
    131,991x = 212,514 × 212,514
  4. Step 4: Simplify right side
    131,991x = 45,162,200,196
  5. Step 5: Solve for x
    x = 45,162,200,196/131,991
  6. Step 6: Final answer
    x = 342,161.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.