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Finding the Third Proportional to 106,996 and 231,124

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Solution

The third proportional to 106,996 and 231,124 is: 499,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,996 : 231,124 = 231,124 : x
  2. Step 2: Convert to fraction form
    106,996/231,124 = 231,124/x
  3. Step 3: Cross multiply
    106,996x = 231,124 × 231,124
  4. Step 4: Simplify right side
    106,996x = 53,418,303,376
  5. Step 5: Solve for x
    x = 53,418,303,376/106,996
  6. Step 6: Final answer
    x = 499,255.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.