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Finding the Third Proportional to 111,062 and 171,782

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Solution

The third proportional to 111,062 and 171,782 is: 265,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,062 : 171,782 = 171,782 : x
  2. Step 2: Convert to fraction form
    111,062/171,782 = 171,782/x
  3. Step 3: Cross multiply
    111,062x = 171,782 × 171,782
  4. Step 4: Simplify right side
    111,062x = 29,509,055,524
  5. Step 5: Solve for x
    x = 29,509,055,524/111,062
  6. Step 6: Final answer
    x = 265,698.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.