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Finding the Third Proportional to 91,766 and 133,654

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Solution

The third proportional to 91,766 and 133,654 is: 194,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,766 : 133,654 = 133,654 : x
  2. Step 2: Convert to fraction form
    91,766/133,654 = 133,654/x
  3. Step 3: Cross multiply
    91,766x = 133,654 × 133,654
  4. Step 4: Simplify right side
    91,766x = 17,863,391,716
  5. Step 5: Solve for x
    x = 17,863,391,716/91,766
  6. Step 6: Final answer
    x = 194,662.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.