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Finding the Third Proportional to 89,302 and 122,451

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Solution

The third proportional to 89,302 and 122,451 is: 167,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,302 : 122,451 = 122,451 : x
  2. Step 2: Convert to fraction form
    89,302/122,451 = 122,451/x
  3. Step 3: Cross multiply
    89,302x = 122,451 × 122,451
  4. Step 4: Simplify right side
    89,302x = 14,994,247,401
  5. Step 5: Solve for x
    x = 14,994,247,401/89,302
  6. Step 6: Final answer
    x = 167,904.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.