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Finding the Third Proportional to 54,958.50 and 82,898.44

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Solution

The third proportional to 54,958.50 and 82,898.44 is: 125,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,958.50 : 82,898.44 = 82,898.44 : x
  2. Step 2: Convert to fraction form
    54,958.50/82,898.44 = 82,898.44/x
  3. Step 3: Cross multiply
    54,958.50x = 82,898.44 × 82,898.44
  4. Step 4: Simplify right side
    54,958.50x = 6,872,150,939.94
  5. Step 5: Solve for x
    x = 6,872,150,939.94/54,958.50
  6. Step 6: Final answer
    x = 125,042.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.