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Finding the Third Proportional to 30,338 and 62,134

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Solution

The third proportional to 30,338 and 62,134 is: 127,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338 : 62,134 = 62,134 : x
  2. Step 2: Convert to fraction form
    30,338/62,134 = 62,134/x
  3. Step 3: Cross multiply
    30,338x = 62,134 × 62,134
  4. Step 4: Simplify right side
    30,338x = 3,860,633,956
  5. Step 5: Solve for x
    x = 3,860,633,956/30,338
  6. Step 6: Final answer
    x = 127,254.07

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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.