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Finding the Third Proportional to 82,107.28 and 123,525.42

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Solution

The third proportional to 82,107.28 and 123,525.42 is: 185,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.28 : 123,525.42 = 123,525.42 : x
  2. Step 2: Convert to fraction form
    82,107.28/123,525.42 = 123,525.42/x
  3. Step 3: Cross multiply
    82,107.28x = 123,525.42 × 123,525.42
  4. Step 4: Simplify right side
    82,107.28x = 15,258,529,849.40
  5. Step 5: Solve for x
    x = 15,258,529,849.40/82,107.28
  6. Step 6: Final answer
    x = 185,836.50

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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.