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Finding the Third Proportional to 108,725 and 166,329

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Solution

The third proportional to 108,725 and 166,329 is: 254,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,725 : 166,329 = 166,329 : x
  2. Step 2: Convert to fraction form
    108,725/166,329 = 166,329/x
  3. Step 3: Cross multiply
    108,725x = 166,329 × 166,329
  4. Step 4: Simplify right side
    108,725x = 27,665,336,241
  5. Step 5: Solve for x
    x = 27,665,336,241/108,725
  6. Step 6: Final answer
    x = 254,452.39

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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.