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Finding the Third Proportional to 30,350 and 62,203

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Solution

The third proportional to 30,350 and 62,203 is: 127,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,350 : 62,203 = 62,203 : x
  2. Step 2: Convert to fraction form
    30,350/62,203 = 62,203/x
  3. Step 3: Cross multiply
    30,350x = 62,203 × 62,203
  4. Step 4: Simplify right side
    30,350x = 3,869,213,209
  5. Step 5: Solve for x
    x = 3,869,213,209/30,350
  6. Step 6: Final answer
    x = 127,486.43

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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.