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Finding the Third Proportional to 62,021 and 135,103

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Solution

The third proportional to 62,021 and 135,103 is: 294,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,021 : 135,103 = 135,103 : x
  2. Step 2: Convert to fraction form
    62,021/135,103 = 135,103/x
  3. Step 3: Cross multiply
    62,021x = 135,103 × 135,103
  4. Step 4: Simplify right side
    62,021x = 18,252,820,609
  5. Step 5: Solve for x
    x = 18,252,820,609/62,021
  6. Step 6: Final answer
    x = 294,300.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.