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Finding the Third Proportional to 112,908 and 173,266

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Solution

The third proportional to 112,908 and 173,266 is: 265,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,908 : 173,266 = 173,266 : x
  2. Step 2: Convert to fraction form
    112,908/173,266 = 173,266/x
  3. Step 3: Cross multiply
    112,908x = 173,266 × 173,266
  4. Step 4: Simplify right side
    112,908x = 30,021,106,756
  5. Step 5: Solve for x
    x = 30,021,106,756/112,908
  6. Step 6: Final answer
    x = 265,889.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.