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Finding the Third Proportional to 75,450.38 and 113,184.56

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Solution

The third proportional to 75,450.38 and 113,184.56 is: 169,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,450.38 : 113,184.56 = 113,184.56 : x
  2. Step 2: Convert to fraction form
    75,450.38/113,184.56 = 113,184.56/x
  3. Step 3: Cross multiply
    75,450.38x = 113,184.56 × 113,184.56
  4. Step 4: Simplify right side
    75,450.38x = 12,810,745,188.32
  5. Step 5: Solve for x
    x = 12,810,745,188.32/75,450.38
  6. Step 6: Final answer
    x = 169,790.34

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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.