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Finding the Third Proportional to 112,074 and 173,529

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Solution

The third proportional to 112,074 and 173,529 is: 268,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,074 : 173,529 = 173,529 : x
  2. Step 2: Convert to fraction form
    112,074/173,529 = 173,529/x
  3. Step 3: Cross multiply
    112,074x = 173,529 × 173,529
  4. Step 4: Simplify right side
    112,074x = 30,112,313,841
  5. Step 5: Solve for x
    x = 30,112,313,841/112,074
  6. Step 6: Final answer
    x = 268,682.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.