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Finding the Third Proportional to 108,648 and 165,186

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Solution

The third proportional to 108,648 and 165,186 is: 251,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,648 : 165,186 = 165,186 : x
  2. Step 2: Convert to fraction form
    108,648/165,186 = 165,186/x
  3. Step 3: Cross multiply
    108,648x = 165,186 × 165,186
  4. Step 4: Simplify right side
    108,648x = 27,286,414,596
  5. Step 5: Solve for x
    x = 27,286,414,596/108,648
  6. Step 6: Final answer
    x = 251,145.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.