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Finding the Third Proportional to 53,180 and 111,868

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Solution

The third proportional to 53,180 and 111,868 is: 235,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,180 : 111,868 = 111,868 : x
  2. Step 2: Convert to fraction form
    53,180/111,868 = 111,868/x
  3. Step 3: Cross multiply
    53,180x = 111,868 × 111,868
  4. Step 4: Simplify right side
    53,180x = 12,514,449,424
  5. Step 5: Solve for x
    x = 12,514,449,424/53,180
  6. Step 6: Final answer
    x = 235,322.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.