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Finding the Third Proportional to 89,960 and 134,451

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Solution

The third proportional to 89,960 and 134,451 is: 200,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,960 : 134,451 = 134,451 : x
  2. Step 2: Convert to fraction form
    89,960/134,451 = 134,451/x
  3. Step 3: Cross multiply
    89,960x = 134,451 × 134,451
  4. Step 4: Simplify right side
    89,960x = 18,077,071,401
  5. Step 5: Solve for x
    x = 18,077,071,401/89,960
  6. Step 6: Final answer
    x = 200,945.66

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Why These Related Problems?

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