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Finding the Third Proportional to 106,538 and 233,812

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Solution

The third proportional to 106,538 and 233,812 is: 513,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,538 : 233,812 = 233,812 : x
  2. Step 2: Convert to fraction form
    106,538/233,812 = 233,812/x
  3. Step 3: Cross multiply
    106,538x = 233,812 × 233,812
  4. Step 4: Simplify right side
    106,538x = 54,668,051,344
  5. Step 5: Solve for x
    x = 54,668,051,344/106,538
  6. Step 6: Final answer
    x = 513,131.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.