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Finding the Third Proportional to 110,443 and 166,586

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Solution

The third proportional to 110,443 and 166,586 is: 251,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,443 : 166,586 = 166,586 : x
  2. Step 2: Convert to fraction form
    110,443/166,586 = 166,586/x
  3. Step 3: Cross multiply
    110,443x = 166,586 × 166,586
  4. Step 4: Simplify right side
    110,443x = 27,750,895,396
  5. Step 5: Solve for x
    x = 27,750,895,396/110,443
  6. Step 6: Final answer
    x = 251,268.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.