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Finding the Third Proportional to 89,786 and 133,901

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Solution

The third proportional to 89,786 and 133,901 is: 199,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,786 : 133,901 = 133,901 : x
  2. Step 2: Convert to fraction form
    89,786/133,901 = 133,901/x
  3. Step 3: Cross multiply
    89,786x = 133,901 × 133,901
  4. Step 4: Simplify right side
    89,786x = 17,929,477,801
  5. Step 5: Solve for x
    x = 17,929,477,801/89,786
  6. Step 6: Final answer
    x = 199,691.24

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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.