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Finding the Third Proportional to 28,105 and 62,161

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Solution

The third proportional to 28,105 and 62,161 is: 137,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,105 : 62,161 = 62,161 : x
  2. Step 2: Convert to fraction form
    28,105/62,161 = 62,161/x
  3. Step 3: Cross multiply
    28,105x = 62,161 × 62,161
  4. Step 4: Simplify right side
    28,105x = 3,863,989,921
  5. Step 5: Solve for x
    x = 3,863,989,921/28,105
  6. Step 6: Final answer
    x = 137,484.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.