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Finding the Third Proportional to 77,871 and 167,589

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Solution

The third proportional to 77,871 and 167,589 is: 360,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,871 : 167,589 = 167,589 : x
  2. Step 2: Convert to fraction form
    77,871/167,589 = 167,589/x
  3. Step 3: Cross multiply
    77,871x = 167,589 × 167,589
  4. Step 4: Simplify right side
    77,871x = 28,086,072,921
  5. Step 5: Solve for x
    x = 28,086,072,921/77,871
  6. Step 6: Final answer
    x = 360,674.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.