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Finding the Third Proportional to 103,983 and 167,451

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Solution

The third proportional to 103,983 and 167,451 is: 269,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,983 : 167,451 = 167,451 : x
  2. Step 2: Convert to fraction form
    103,983/167,451 = 167,451/x
  3. Step 3: Cross multiply
    103,983x = 167,451 × 167,451
  4. Step 4: Simplify right side
    103,983x = 28,039,837,401
  5. Step 5: Solve for x
    x = 28,039,837,401/103,983
  6. Step 6: Final answer
    x = 269,657.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.