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Finding the Third Proportional to 48,290 and 76,839

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Solution

The third proportional to 48,290 and 76,839 is: 122,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,290 : 76,839 = 76,839 : x
  2. Step 2: Convert to fraction form
    48,290/76,839 = 76,839/x
  3. Step 3: Cross multiply
    48,290x = 76,839 × 76,839
  4. Step 4: Simplify right side
    48,290x = 5,904,231,921
  5. Step 5: Solve for x
    x = 5,904,231,921/48,290
  6. Step 6: Final answer
    x = 122,266.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.