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Finding the Third Proportional to 111,587 and 167,379

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Solution

The third proportional to 111,587 and 167,379 is: 251,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,587 : 167,379 = 167,379 : x
  2. Step 2: Convert to fraction form
    111,587/167,379 = 167,379/x
  3. Step 3: Cross multiply
    111,587x = 167,379 × 167,379
  4. Step 4: Simplify right side
    111,587x = 28,015,729,641
  5. Step 5: Solve for x
    x = 28,015,729,641/111,587
  6. Step 6: Final answer
    x = 251,066.25

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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.