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Finding the Third Proportional to 68,183 and 145,842

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Solution

The third proportional to 68,183 and 145,842 is: 311,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,183 : 145,842 = 145,842 : x
  2. Step 2: Convert to fraction form
    68,183/145,842 = 145,842/x
  3. Step 3: Cross multiply
    68,183x = 145,842 × 145,842
  4. Step 4: Simplify right side
    68,183x = 21,269,888,964
  5. Step 5: Solve for x
    x = 21,269,888,964/68,183
  6. Step 6: Final answer
    x = 311,952.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.