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Finding the Third Proportional to 51,612 and 75,427

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Solution

The third proportional to 51,612 and 75,427 is: 110,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,612 : 75,427 = 75,427 : x
  2. Step 2: Convert to fraction form
    51,612/75,427 = 75,427/x
  3. Step 3: Cross multiply
    51,612x = 75,427 × 75,427
  4. Step 4: Simplify right side
    51,612x = 5,689,232,329
  5. Step 5: Solve for x
    x = 5,689,232,329/51,612
  6. Step 6: Final answer
    x = 110,230.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.