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Finding the Third Proportional to 55,851 and 108,897

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Solution

The third proportional to 55,851 and 108,897 is: 212,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,851 : 108,897 = 108,897 : x
  2. Step 2: Convert to fraction form
    55,851/108,897 = 108,897/x
  3. Step 3: Cross multiply
    55,851x = 108,897 × 108,897
  4. Step 4: Simplify right side
    55,851x = 11,858,556,609
  5. Step 5: Solve for x
    x = 11,858,556,609/55,851
  6. Step 6: Final answer
    x = 212,324.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.