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Finding the Third Proportional to 75,846.38 and 113,769.56

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Solution

The third proportional to 75,846.38 and 113,769.56 is: 170,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.38 : 113,769.56 = 113,769.56 : x
  2. Step 2: Convert to fraction form
    75,846.38/113,769.56 = 113,769.56/x
  3. Step 3: Cross multiply
    75,846.38x = 113,769.56 × 113,769.56
  4. Step 4: Simplify right side
    75,846.38x = 12,943,513,351.44
  5. Step 5: Solve for x
    x = 12,943,513,351.44/75,846.38
  6. Step 6: Final answer
    x = 170,654.34

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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.