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Finding the Third Proportional to 110,769 and 171,837

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Solution

The third proportional to 110,769 and 171,837 is: 266,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,769 : 171,837 = 171,837 : x
  2. Step 2: Convert to fraction form
    110,769/171,837 = 171,837/x
  3. Step 3: Cross multiply
    110,769x = 171,837 × 171,837
  4. Step 4: Simplify right side
    110,769x = 29,527,954,569
  5. Step 5: Solve for x
    x = 29,527,954,569/110,769
  6. Step 6: Final answer
    x = 266,572.37

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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.