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Finding the Third Proportional to 111,606 and 171,014.25

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Solution

The third proportional to 111,606 and 171,014.25 is: 262,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,606 : 171,014.25 = 171,014.25 : x
  2. Step 2: Convert to fraction form
    111,606/171,014.25 = 171,014.25/x
  3. Step 3: Cross multiply
    111,606x = 171,014.25 × 171,014.25
  4. Step 4: Simplify right side
    111,606x = 29,245,873,703.06
  5. Step 5: Solve for x
    x = 29,245,873,703.06/111,606
  6. Step 6: Final answer
    x = 262,045.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.