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Finding the Third Proportional to 89,262 and 122,398

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Solution

The third proportional to 89,262 and 122,398 is: 167,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,262 : 122,398 = 122,398 : x
  2. Step 2: Convert to fraction form
    89,262/122,398 = 122,398/x
  3. Step 3: Cross multiply
    89,262x = 122,398 × 122,398
  4. Step 4: Simplify right side
    89,262x = 14,981,270,404
  5. Step 5: Solve for x
    x = 14,981,270,404/89,262
  6. Step 6: Final answer
    x = 167,834.81

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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.