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Finding the Third Proportional to 108,864 and 166,536

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Solution

The third proportional to 108,864 and 166,536 is: 254,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,864 : 166,536 = 166,536 : x
  2. Step 2: Convert to fraction form
    108,864/166,536 = 166,536/x
  3. Step 3: Cross multiply
    108,864x = 166,536 × 166,536
  4. Step 4: Simplify right side
    108,864x = 27,734,239,296
  5. Step 5: Solve for x
    x = 27,734,239,296/108,864
  6. Step 6: Final answer
    x = 254,760.43

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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.