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Finding the Third Proportional to 70,866 and 114,183

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Solution

The third proportional to 70,866 and 114,183 is: 183,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,866 : 114,183 = 114,183 : x
  2. Step 2: Convert to fraction form
    70,866/114,183 = 114,183/x
  3. Step 3: Cross multiply
    70,866x = 114,183 × 114,183
  4. Step 4: Simplify right side
    70,866x = 13,037,757,489
  5. Step 5: Solve for x
    x = 13,037,757,489/70,866
  6. Step 6: Final answer
    x = 183,977.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.