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Finding the Third Proportional to 82,449 and 124,839

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Solution

The third proportional to 82,449 and 124,839 is: 189,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,449 : 124,839 = 124,839 : x
  2. Step 2: Convert to fraction form
    82,449/124,839 = 124,839/x
  3. Step 3: Cross multiply
    82,449x = 124,839 × 124,839
  4. Step 4: Simplify right side
    82,449x = 15,584,775,921
  5. Step 5: Solve for x
    x = 15,584,775,921/82,449
  6. Step 6: Final answer
    x = 189,023.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.