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Finding the Third Proportional to 107,912 and 237,238

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Solution

The third proportional to 107,912 and 237,238 is: 521,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,912 : 237,238 = 237,238 : x
  2. Step 2: Convert to fraction form
    107,912/237,238 = 237,238/x
  3. Step 3: Cross multiply
    107,912x = 237,238 × 237,238
  4. Step 4: Simplify right side
    107,912x = 56,281,868,644
  5. Step 5: Solve for x
    x = 56,281,868,644/107,912
  6. Step 6: Final answer
    x = 521,553.38

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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.