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Finding the Third Proportional to 133,038 and 194,589

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Solution

The third proportional to 133,038 and 194,589 is: 284,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 194,589 = 194,589 : x
  2. Step 2: Convert to fraction form
    133,038/194,589 = 194,589/x
  3. Step 3: Cross multiply
    133,038x = 194,589 × 194,589
  4. Step 4: Simplify right side
    133,038x = 37,864,878,921
  5. Step 5: Solve for x
    x = 37,864,878,921/133,038
  6. Step 6: Final answer
    x = 284,617.02

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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.