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Finding the Third Proportional to 84,704 and 123,873

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Solution

The third proportional to 84,704 and 123,873 is: 181,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,704 : 123,873 = 123,873 : x
  2. Step 2: Convert to fraction form
    84,704/123,873 = 123,873/x
  3. Step 3: Cross multiply
    84,704x = 123,873 × 123,873
  4. Step 4: Simplify right side
    84,704x = 15,344,520,129
  5. Step 5: Solve for x
    x = 15,344,520,129/84,704
  6. Step 6: Final answer
    x = 181,154.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.