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Finding the Third Proportional to 106,921 and 166,335

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Solution

The third proportional to 106,921 and 166,335 is: 258,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,921 : 166,335 = 166,335 : x
  2. Step 2: Convert to fraction form
    106,921/166,335 = 166,335/x
  3. Step 3: Cross multiply
    106,921x = 166,335 × 166,335
  4. Step 4: Simplify right side
    106,921x = 27,667,332,225
  5. Step 5: Solve for x
    x = 27,667,332,225/106,921
  6. Step 6: Final answer
    x = 258,764.25

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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.