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Finding the Third Proportional to 75,942.56 and 156,745.13

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Solution

The third proportional to 75,942.56 and 156,745.13 is: 323,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,942.56 : 156,745.13 = 156,745.13 : x
  2. Step 2: Convert to fraction form
    75,942.56/156,745.13 = 156,745.13/x
  3. Step 3: Cross multiply
    75,942.56x = 156,745.13 × 156,745.13
  4. Step 4: Simplify right side
    75,942.56x = 24,569,034,211.27
  5. Step 5: Solve for x
    x = 24,569,034,211.27/75,942.56
  6. Step 6: Final answer
    x = 323,521.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.