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Finding the Third Proportional to 107,916 and 237,249

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Solution

The third proportional to 107,916 and 237,249 is: 521,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,916 : 237,249 = 237,249 : x
  2. Step 2: Convert to fraction form
    107,916/237,249 = 237,249/x
  3. Step 3: Cross multiply
    107,916x = 237,249 × 237,249
  4. Step 4: Simplify right side
    107,916x = 56,287,088,001
  5. Step 5: Solve for x
    x = 56,287,088,001/107,916
  6. Step 6: Final answer
    x = 521,582.42

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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.