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Finding the Third Proportional to 39,134 and 76,306

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Solution

The third proportional to 39,134 and 76,306 is: 148,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,134 : 76,306 = 76,306 : x
  2. Step 2: Convert to fraction form
    39,134/76,306 = 76,306/x
  3. Step 3: Cross multiply
    39,134x = 76,306 × 76,306
  4. Step 4: Simplify right side
    39,134x = 5,822,605,636
  5. Step 5: Solve for x
    x = 5,822,605,636/39,134
  6. Step 6: Final answer
    x = 148,786.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.