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Finding the Third Proportional to 108,524 and 165,908

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Solution

The third proportional to 108,524 and 165,908 is: 253,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,524 : 165,908 = 165,908 : x
  2. Step 2: Convert to fraction form
    108,524/165,908 = 165,908/x
  3. Step 3: Cross multiply
    108,524x = 165,908 × 165,908
  4. Step 4: Simplify right side
    108,524x = 27,525,464,464
  5. Step 5: Solve for x
    x = 27,525,464,464/108,524
  6. Step 6: Final answer
    x = 253,634.81

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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.