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Finding the Third Proportional to 25,243 and 53,099

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Solution

The third proportional to 25,243 and 53,099 is: 111,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,243 : 53,099 = 53,099 : x
  2. Step 2: Convert to fraction form
    25,243/53,099 = 53,099/x
  3. Step 3: Cross multiply
    25,243x = 53,099 × 53,099
  4. Step 4: Simplify right side
    25,243x = 2,819,503,801
  5. Step 5: Solve for x
    x = 2,819,503,801/25,243
  6. Step 6: Final answer
    x = 111,694.48

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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.