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Finding the Third Proportional to 111,569 and 167,598

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Solution

The third proportional to 111,569 and 167,598 is: 251,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,569 : 167,598 = 167,598 : x
  2. Step 2: Convert to fraction form
    111,569/167,598 = 167,598/x
  3. Step 3: Cross multiply
    111,569x = 167,598 × 167,598
  4. Step 4: Simplify right side
    111,569x = 28,089,089,604
  5. Step 5: Solve for x
    x = 28,089,089,604/111,569
  6. Step 6: Final answer
    x = 251,764.29

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Why These Related Problems?

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