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Finding the Third Proportional to 77,999 and 168,451

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Solution

The third proportional to 77,999 and 168,451 is: 363,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,999 : 168,451 = 168,451 : x
  2. Step 2: Convert to fraction form
    77,999/168,451 = 168,451/x
  3. Step 3: Cross multiply
    77,999x = 168,451 × 168,451
  4. Step 4: Simplify right side
    77,999x = 28,375,739,401
  5. Step 5: Solve for x
    x = 28,375,739,401/77,999
  6. Step 6: Final answer
    x = 363,796.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.