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Finding the Third Proportional to 54,954 and 112,518

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Solution

The third proportional to 54,954 and 112,518 is: 230,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,954 : 112,518 = 112,518 : x
  2. Step 2: Convert to fraction form
    54,954/112,518 = 112,518/x
  3. Step 3: Cross multiply
    54,954x = 112,518 × 112,518
  4. Step 4: Simplify right side
    54,954x = 12,660,300,324
  5. Step 5: Solve for x
    x = 12,660,300,324/54,954
  6. Step 6: Final answer
    x = 230,379.96

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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.