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Finding the Third Proportional to 111,567 and 169,966

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Solution

The third proportional to 111,567 and 169,966 is: 258,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,567 : 169,966 = 169,966 : x
  2. Step 2: Convert to fraction form
    111,567/169,966 = 169,966/x
  3. Step 3: Cross multiply
    111,567x = 169,966 × 169,966
  4. Step 4: Simplify right side
    111,567x = 28,888,441,156
  5. Step 5: Solve for x
    x = 28,888,441,156/111,567
  6. Step 6: Final answer
    x = 258,933.57

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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.