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Finding the Third Proportional to 89,954 and 134,451

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Solution

The third proportional to 89,954 and 134,451 is: 200,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,954 : 134,451 = 134,451 : x
  2. Step 2: Convert to fraction form
    89,954/134,451 = 134,451/x
  3. Step 3: Cross multiply
    89,954x = 134,451 × 134,451
  4. Step 4: Simplify right side
    89,954x = 18,077,071,401
  5. Step 5: Solve for x
    x = 18,077,071,401/89,954
  6. Step 6: Final answer
    x = 200,959.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.