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Finding the Third Proportional to 106,964 and 166,296

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Solution

The third proportional to 106,964 and 166,296 is: 258,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,964 : 166,296 = 166,296 : x
  2. Step 2: Convert to fraction form
    106,964/166,296 = 166,296/x
  3. Step 3: Cross multiply
    106,964x = 166,296 × 166,296
  4. Step 4: Simplify right side
    106,964x = 27,654,359,616
  5. Step 5: Solve for x
    x = 27,654,359,616/106,964
  6. Step 6: Final answer
    x = 258,538.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.