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Finding the Third Proportional to 133,016 and 194,562

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Solution

The third proportional to 133,016 and 194,562 is: 284,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,016 : 194,562 = 194,562 : x
  2. Step 2: Convert to fraction form
    133,016/194,562 = 194,562/x
  3. Step 3: Cross multiply
    133,016x = 194,562 × 194,562
  4. Step 4: Simplify right side
    133,016x = 37,854,371,844
  5. Step 5: Solve for x
    x = 37,854,371,844/133,016
  6. Step 6: Final answer
    x = 284,585.10

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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.