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Finding the Third Proportional to 25,256 and 53,121

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Solution

The third proportional to 25,256 and 53,121 is: 111,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,256 : 53,121 = 53,121 : x
  2. Step 2: Convert to fraction form
    25,256/53,121 = 53,121/x
  3. Step 3: Cross multiply
    25,256x = 53,121 × 53,121
  4. Step 4: Simplify right side
    25,256x = 2,821,840,641
  5. Step 5: Solve for x
    x = 2,821,840,641/25,256
  6. Step 6: Final answer
    x = 111,729.52

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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.