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Finding the Third Proportional to 106,272 and 166,698

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Solution

The third proportional to 106,272 and 166,698 is: 261,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,272 : 166,698 = 166,698 : x
  2. Step 2: Convert to fraction form
    106,272/166,698 = 166,698/x
  3. Step 3: Cross multiply
    106,272x = 166,698 × 166,698
  4. Step 4: Simplify right side
    106,272x = 27,788,223,204
  5. Step 5: Solve for x
    x = 27,788,223,204/106,272
  6. Step 6: Final answer
    x = 261,482.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.