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Finding the Third Proportional to 106,712 and 231,512

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Solution

The third proportional to 106,712 and 231,512 is: 502,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,712 : 231,512 = 231,512 : x
  2. Step 2: Convert to fraction form
    106,712/231,512 = 231,512/x
  3. Step 3: Cross multiply
    106,712x = 231,512 × 231,512
  4. Step 4: Simplify right side
    106,712x = 53,597,806,144
  5. Step 5: Solve for x
    x = 53,597,806,144/106,712
  6. Step 6: Final answer
    x = 502,265.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.