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Finding the Third Proportional to 104,535 and 166,125

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Solution

The third proportional to 104,535 and 166,125 is: 264,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,535 : 166,125 = 166,125 : x
  2. Step 2: Convert to fraction form
    104,535/166,125 = 166,125/x
  3. Step 3: Cross multiply
    104,535x = 166,125 × 166,125
  4. Step 4: Simplify right side
    104,535x = 27,597,515,625
  5. Step 5: Solve for x
    x = 27,597,515,625/104,535
  6. Step 6: Final answer
    x = 264,002.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.