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Finding the Third Proportional to 124,839 and 162,873

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Solution

The third proportional to 124,839 and 162,873 is: 212,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,839 : 162,873 = 162,873 : x
  2. Step 2: Convert to fraction form
    124,839/162,873 = 162,873/x
  3. Step 3: Cross multiply
    124,839x = 162,873 × 162,873
  4. Step 4: Simplify right side
    124,839x = 26,527,614,129
  5. Step 5: Solve for x
    x = 26,527,614,129/124,839
  6. Step 6: Final answer
    x = 212,494.61

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.