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Finding the Third Proportional to 111,040 and 169,325

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Solution

The third proportional to 111,040 and 169,325 is: 258,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,040 : 169,325 = 169,325 : x
  2. Step 2: Convert to fraction form
    111,040/169,325 = 169,325/x
  3. Step 3: Cross multiply
    111,040x = 169,325 × 169,325
  4. Step 4: Simplify right side
    111,040x = 28,670,955,625
  5. Step 5: Solve for x
    x = 28,670,955,625/111,040
  6. Step 6: Final answer
    x = 258,203.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.