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Finding the Third Proportional to 106,977.75 and 165,651

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Solution

The third proportional to 106,977.75 and 165,651 is: 256,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,977.75 : 165,651 = 165,651 : x
  2. Step 2: Convert to fraction form
    106,977.75/165,651 = 165,651/x
  3. Step 3: Cross multiply
    106,977.75x = 165,651 × 165,651
  4. Step 4: Simplify right side
    106,977.75x = 27,440,253,801
  5. Step 5: Solve for x
    x = 27,440,253,801/106,977.75
  6. Step 6: Final answer
    x = 256,504.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.