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Finding the Third Proportional to 107,891 and 237,196

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Solution

The third proportional to 107,891 and 237,196 is: 521,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,891 : 237,196 = 237,196 : x
  2. Step 2: Convert to fraction form
    107,891/237,196 = 237,196/x
  3. Step 3: Cross multiply
    107,891x = 237,196 × 237,196
  4. Step 4: Simplify right side
    107,891x = 56,261,942,416
  5. Step 5: Solve for x
    x = 56,261,942,416/107,891
  6. Step 6: Final answer
    x = 521,470.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.