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Finding the Third Proportional to 51,452 and 112,372

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Solution

The third proportional to 51,452 and 112,372 is: 245,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,452 : 112,372 = 112,372 : x
  2. Step 2: Convert to fraction form
    51,452/112,372 = 112,372/x
  3. Step 3: Cross multiply
    51,452x = 112,372 × 112,372
  4. Step 4: Simplify right side
    51,452x = 12,627,466,384
  5. Step 5: Solve for x
    x = 12,627,466,384/51,452
  6. Step 6: Final answer
    x = 245,422.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.