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Finding the Third Proportional to 106,233.75 and 155,523.38

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Solution

The third proportional to 106,233.75 and 155,523.38 is: 227,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,233.75 : 155,523.38 = 155,523.38 : x
  2. Step 2: Convert to fraction form
    106,233.75/155,523.38 = 155,523.38/x
  3. Step 3: Cross multiply
    106,233.75x = 155,523.38 × 155,523.38
  4. Step 4: Simplify right side
    106,233.75x = 24,187,520,171.39
  5. Step 5: Solve for x
    x = 24,187,520,171.39/106,233.75
  6. Step 6: Final answer
    x = 227,682.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.