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Finding the Third Proportional to 84,753 and 182,631.38

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Solution

The third proportional to 84,753 and 182,631.38 is: 393,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,753 : 182,631.38 = 182,631.38 : x
  2. Step 2: Convert to fraction form
    84,753/182,631.38 = 182,631.38/x
  3. Step 3: Cross multiply
    84,753x = 182,631.38 × 182,631.38
  4. Step 4: Simplify right side
    84,753x = 33,354,219,134.39
  5. Step 5: Solve for x
    x = 33,354,219,134.39/84,753
  6. Step 6: Final answer
    x = 393,546.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.