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Finding the Third Proportional to 106,982 and 165,085

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Solution

The third proportional to 106,982 and 165,085 is: 254,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,982 : 165,085 = 165,085 : x
  2. Step 2: Convert to fraction form
    106,982/165,085 = 165,085/x
  3. Step 3: Cross multiply
    106,982x = 165,085 × 165,085
  4. Step 4: Simplify right side
    106,982x = 27,253,057,225
  5. Step 5: Solve for x
    x = 27,253,057,225/106,982
  6. Step 6: Final answer
    x = 254,744.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.