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Finding the Third Proportional to 39,330 and 60,192

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Solution

The third proportional to 39,330 and 60,192 is: 92,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,330 : 60,192 = 60,192 : x
  2. Step 2: Convert to fraction form
    39,330/60,192 = 60,192/x
  3. Step 3: Cross multiply
    39,330x = 60,192 × 60,192
  4. Step 4: Simplify right side
    39,330x = 3,623,076,864
  5. Step 5: Solve for x
    x = 3,623,076,864/39,330
  6. Step 6: Final answer
    x = 92,119.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.