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Finding the Third Proportional to 112,689 and 175,493

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Solution

The third proportional to 112,689 and 175,493 is: 273,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,689 : 175,493 = 175,493 : x
  2. Step 2: Convert to fraction form
    112,689/175,493 = 175,493/x
  3. Step 3: Cross multiply
    112,689x = 175,493 × 175,493
  4. Step 4: Simplify right side
    112,689x = 30,797,793,049
  5. Step 5: Solve for x
    x = 30,797,793,049/112,689
  6. Step 6: Final answer
    x = 273,299.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.