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Finding the Third Proportional to 108,836 and 166,496

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Solution

The third proportional to 108,836 and 166,496 is: 254,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,836 : 166,496 = 166,496 : x
  2. Step 2: Convert to fraction form
    108,836/166,496 = 166,496/x
  3. Step 3: Cross multiply
    108,836x = 166,496 × 166,496
  4. Step 4: Simplify right side
    108,836x = 27,720,918,016
  5. Step 5: Solve for x
    x = 27,720,918,016/108,836
  6. Step 6: Final answer
    x = 254,703.57

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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.