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Finding the Third Proportional to 106,022 and 162,431

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Solution

The third proportional to 106,022 and 162,431 is: 248,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,022 : 162,431 = 162,431 : x
  2. Step 2: Convert to fraction form
    106,022/162,431 = 162,431/x
  3. Step 3: Cross multiply
    106,022x = 162,431 × 162,431
  4. Step 4: Simplify right side
    106,022x = 26,383,829,761
  5. Step 5: Solve for x
    x = 26,383,829,761/106,022
  6. Step 6: Final answer
    x = 248,852.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.