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Finding the Third Proportional to 83,086 and 182,785

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Solution

The third proportional to 83,086 and 182,785 is: 402,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,086 : 182,785 = 182,785 : x
  2. Step 2: Convert to fraction form
    83,086/182,785 = 182,785/x
  3. Step 3: Cross multiply
    83,086x = 182,785 × 182,785
  4. Step 4: Simplify right side
    83,086x = 33,410,356,225
  5. Step 5: Solve for x
    x = 33,410,356,225/83,086
  6. Step 6: Final answer
    x = 402,117.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.