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Finding the Third Proportional to 34,870 and 80,249

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Solution

The third proportional to 34,870 and 80,249 is: 184,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,870 : 80,249 = 80,249 : x
  2. Step 2: Convert to fraction form
    34,870/80,249 = 80,249/x
  3. Step 3: Cross multiply
    34,870x = 80,249 × 80,249
  4. Step 4: Simplify right side
    34,870x = 6,439,902,001
  5. Step 5: Solve for x
    x = 6,439,902,001/34,870
  6. Step 6: Final answer
    x = 184,683.17

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.