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Finding the Third Proportional to 108,675 and 166,239

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Solution

The third proportional to 108,675 and 166,239 is: 254,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,675 : 166,239 = 166,239 : x
  2. Step 2: Convert to fraction form
    108,675/166,239 = 166,239/x
  3. Step 3: Cross multiply
    108,675x = 166,239 × 166,239
  4. Step 4: Simplify right side
    108,675x = 27,635,405,121
  5. Step 5: Solve for x
    x = 27,635,405,121/108,675
  6. Step 6: Final answer
    x = 254,294.04

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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.