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Finding the Third Proportional to 39,141.56 and 87,247.69

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Solution

The third proportional to 39,141.56 and 87,247.69 is: 194,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,141.56 : 87,247.69 = 87,247.69 : x
  2. Step 2: Convert to fraction form
    39,141.56/87,247.69 = 87,247.69/x
  3. Step 3: Cross multiply
    39,141.56x = 87,247.69 × 87,247.69
  4. Step 4: Simplify right side
    39,141.56x = 7,612,158,974.10
  5. Step 5: Solve for x
    x = 7,612,158,974.10/39,141.56
  6. Step 6: Final answer
    x = 194,477.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.