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Finding the Third Proportional to 94,000 and 133,654

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Solution

The third proportional to 94,000 and 133,654 is: 190,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,000 : 133,654 = 133,654 : x
  2. Step 2: Convert to fraction form
    94,000/133,654 = 133,654/x
  3. Step 3: Cross multiply
    94,000x = 133,654 × 133,654
  4. Step 4: Simplify right side
    94,000x = 17,863,391,716
  5. Step 5: Solve for x
    x = 17,863,391,716/94,000
  6. Step 6: Final answer
    x = 190,036.08

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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.