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Finding the Third Proportional to 51,162 and 108,407

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Solution

The third proportional to 51,162 and 108,407 is: 229,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,162 : 108,407 = 108,407 : x
  2. Step 2: Convert to fraction form
    51,162/108,407 = 108,407/x
  3. Step 3: Cross multiply
    51,162x = 108,407 × 108,407
  4. Step 4: Simplify right side
    51,162x = 11,752,077,649
  5. Step 5: Solve for x
    x = 11,752,077,649/51,162
  6. Step 6: Final answer
    x = 229,703.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.