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Finding the Third Proportional to 111,558 and 167,584

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Solution

The third proportional to 111,558 and 167,584 is: 251,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,558 : 167,584 = 167,584 : x
  2. Step 2: Convert to fraction form
    111,558/167,584 = 167,584/x
  3. Step 3: Cross multiply
    111,558x = 167,584 × 167,584
  4. Step 4: Simplify right side
    111,558x = 28,084,397,056
  5. Step 5: Solve for x
    x = 28,084,397,056/111,558
  6. Step 6: Final answer
    x = 251,747.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.