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Finding the Third Proportional to 74,298 and 111,799

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Solution

The third proportional to 74,298 and 111,799 is: 168,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,298 : 111,799 = 111,799 : x
  2. Step 2: Convert to fraction form
    74,298/111,799 = 111,799/x
  3. Step 3: Cross multiply
    74,298x = 111,799 × 111,799
  4. Step 4: Simplify right side
    74,298x = 12,499,016,401
  5. Step 5: Solve for x
    x = 12,499,016,401/74,298
  6. Step 6: Final answer
    x = 168,228.17

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