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Finding the Third Proportional to 133,782 and 162,496

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Solution

The third proportional to 133,782 and 162,496 is: 197,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782 : 162,496 = 162,496 : x
  2. Step 2: Convert to fraction form
    133,782/162,496 = 162,496/x
  3. Step 3: Cross multiply
    133,782x = 162,496 × 162,496
  4. Step 4: Simplify right side
    133,782x = 26,404,950,016
  5. Step 5: Solve for x
    x = 26,404,950,016/133,782
  6. Step 6: Final answer
    x = 197,372.97

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.