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Finding the Third Proportional to 108,786 and 165,366

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Solution

The third proportional to 108,786 and 165,366 is: 251,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,786 : 165,366 = 165,366 : x
  2. Step 2: Convert to fraction form
    108,786/165,366 = 165,366/x
  3. Step 3: Cross multiply
    108,786x = 165,366 × 165,366
  4. Step 4: Simplify right side
    108,786x = 27,345,913,956
  5. Step 5: Solve for x
    x = 27,345,913,956/108,786
  6. Step 6: Final answer
    x = 251,373.47

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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.