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Finding the Third Proportional to 106,958 and 166,287

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Solution

The third proportional to 106,958 and 166,287 is: 258,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,958 : 166,287 = 166,287 : x
  2. Step 2: Convert to fraction form
    106,958/166,287 = 166,287/x
  3. Step 3: Cross multiply
    106,958x = 166,287 × 166,287
  4. Step 4: Simplify right side
    106,958x = 27,651,366,369
  5. Step 5: Solve for x
    x = 27,651,366,369/106,958
  6. Step 6: Final answer
    x = 258,525.46

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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.