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Finding the Third Proportional to 82,500.75 and 123,933.38

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Solution

The third proportional to 82,500.75 and 123,933.38 is: 186,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,500.75 : 123,933.38 = 123,933.38 : x
  2. Step 2: Convert to fraction form
    82,500.75/123,933.38 = 123,933.38/x
  3. Step 3: Cross multiply
    82,500.75x = 123,933.38 × 123,933.38
  4. Step 4: Simplify right side
    82,500.75x = 15,359,481,438.89
  5. Step 5: Solve for x
    x = 15,359,481,438.89/82,500.75
  6. Step 6: Final answer
    x = 186,173.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.