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Finding the Third Proportional to 133,072 and 194,416

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Solution

The third proportional to 133,072 and 194,416 is: 284,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,072 : 194,416 = 194,416 : x
  2. Step 2: Convert to fraction form
    133,072/194,416 = 194,416/x
  3. Step 3: Cross multiply
    133,072x = 194,416 × 194,416
  4. Step 4: Simplify right side
    133,072x = 37,797,581,056
  5. Step 5: Solve for x
    x = 37,797,581,056/133,072
  6. Step 6: Final answer
    x = 284,038.57

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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.