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Finding the Third Proportional to 106,961 and 166,292

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Solution

The third proportional to 106,961 and 166,292 is: 258,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,961 : 166,292 = 166,292 : x
  2. Step 2: Convert to fraction form
    106,961/166,292 = 166,292/x
  3. Step 3: Cross multiply
    106,961x = 166,292 × 166,292
  4. Step 4: Simplify right side
    106,961x = 27,653,029,264
  5. Step 5: Solve for x
    x = 27,653,029,264/106,961
  6. Step 6: Final answer
    x = 258,533.76

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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.