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Finding the Third Proportional to 107,059 and 166,516

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Solution

The third proportional to 107,059 and 166,516 is: 258,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,059 : 166,516 = 166,516 : x
  2. Step 2: Convert to fraction form
    107,059/166,516 = 166,516/x
  3. Step 3: Cross multiply
    107,059x = 166,516 × 166,516
  4. Step 4: Simplify right side
    107,059x = 27,727,578,256
  5. Step 5: Solve for x
    x = 27,727,578,256/107,059
  6. Step 6: Final answer
    x = 258,993.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.