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Finding the Third Proportional to 39,212 and 92,492

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Solution

The third proportional to 39,212 and 92,492 is: 218,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,212 : 92,492 = 92,492 : x
  2. Step 2: Convert to fraction form
    39,212/92,492 = 92,492/x
  3. Step 3: Cross multiply
    39,212x = 92,492 × 92,492
  4. Step 4: Simplify right side
    39,212x = 8,554,770,064
  5. Step 5: Solve for x
    x = 8,554,770,064/39,212
  6. Step 6: Final answer
    x = 218,167.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.