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Finding the Third Proportional to 94,286 and 133,653

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Solution

The third proportional to 94,286 and 133,653 is: 189,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,286 : 133,653 = 133,653 : x
  2. Step 2: Convert to fraction form
    94,286/133,653 = 133,653/x
  3. Step 3: Cross multiply
    94,286x = 133,653 × 133,653
  4. Step 4: Simplify right side
    94,286x = 17,863,124,409
  5. Step 5: Solve for x
    x = 17,863,124,409/94,286
  6. Step 6: Final answer
    x = 189,456.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.