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Finding the Third Proportional to 54,756 and 112,104

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Solution

The third proportional to 54,756 and 112,104 is: 229,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,756 : 112,104 = 112,104 : x
  2. Step 2: Convert to fraction form
    54,756/112,104 = 112,104/x
  3. Step 3: Cross multiply
    54,756x = 112,104 × 112,104
  4. Step 4: Simplify right side
    54,756x = 12,567,306,816
  5. Step 5: Solve for x
    x = 12,567,306,816/54,756
  6. Step 6: Final answer
    x = 229,514.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.