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Finding the Third Proportional to 75,762 and 166,296

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Solution

The third proportional to 75,762 and 166,296 is: 365,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762 : 166,296 = 166,296 : x
  2. Step 2: Convert to fraction form
    75,762/166,296 = 166,296/x
  3. Step 3: Cross multiply
    75,762x = 166,296 × 166,296
  4. Step 4: Simplify right side
    75,762x = 27,654,359,616
  5. Step 5: Solve for x
    x = 27,654,359,616/75,762
  6. Step 6: Final answer
    x = 365,016.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.