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Finding the Third Proportional to 41,179.50 and 96,288.75

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Solution

The third proportional to 41,179.50 and 96,288.75 is: 225,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,179.50 : 96,288.75 = 96,288.75 : x
  2. Step 2: Convert to fraction form
    41,179.50/96,288.75 = 96,288.75/x
  3. Step 3: Cross multiply
    41,179.50x = 96,288.75 × 96,288.75
  4. Step 4: Simplify right side
    41,179.50x = 9,271,523,376.56
  5. Step 5: Solve for x
    x = 9,271,523,376.56/41,179.50
  6. Step 6: Final answer
    x = 225,149.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.