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Finding the Third Proportional to 30,293 and 62,098

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Solution

The third proportional to 30,293 and 62,098 is: 127,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,293 : 62,098 = 62,098 : x
  2. Step 2: Convert to fraction form
    30,293/62,098 = 62,098/x
  3. Step 3: Cross multiply
    30,293x = 62,098 × 62,098
  4. Step 4: Simplify right side
    30,293x = 3,856,161,604
  5. Step 5: Solve for x
    x = 3,856,161,604/30,293
  6. Step 6: Final answer
    x = 127,295.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.