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Finding the Third Proportional to 25,131 and 54,147

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Solution

The third proportional to 25,131 and 54,147 is: 116,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,131 : 54,147 = 54,147 : x
  2. Step 2: Convert to fraction form
    25,131/54,147 = 54,147/x
  3. Step 3: Cross multiply
    25,131x = 54,147 × 54,147
  4. Step 4: Simplify right side
    25,131x = 2,931,897,609
  5. Step 5: Solve for x
    x = 2,931,897,609/25,131
  6. Step 6: Final answer
    x = 116,664.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.