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Finding the Third Proportional to 82,497 and 180,759

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Solution

The third proportional to 82,497 and 180,759 is: 396,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497 : 180,759 = 180,759 : x
  2. Step 2: Convert to fraction form
    82,497/180,759 = 180,759/x
  3. Step 3: Cross multiply
    82,497x = 180,759 × 180,759
  4. Step 4: Simplify right side
    82,497x = 32,673,816,081
  5. Step 5: Solve for x
    x = 32,673,816,081/82,497
  6. Step 6: Final answer
    x = 396,060.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.