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Finding the Third Proportional to 28,197 and 60,147

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Solution

The third proportional to 28,197 and 60,147 is: 128,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,197 : 60,147 = 60,147 : x
  2. Step 2: Convert to fraction form
    28,197/60,147 = 60,147/x
  3. Step 3: Cross multiply
    28,197x = 60,147 × 60,147
  4. Step 4: Simplify right side
    28,197x = 3,617,661,609
  5. Step 5: Solve for x
    x = 3,617,661,609/28,197
  6. Step 6: Final answer
    x = 128,299.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.