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Finding the Third Proportional to 39,190 and 92,498

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Solution

The third proportional to 39,190 and 92,498 is: 218,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,190 : 92,498 = 92,498 : x
  2. Step 2: Convert to fraction form
    39,190/92,498 = 92,498/x
  3. Step 3: Cross multiply
    39,190x = 92,498 × 92,498
  4. Step 4: Simplify right side
    39,190x = 8,555,880,004
  5. Step 5: Solve for x
    x = 8,555,880,004/39,190
  6. Step 6: Final answer
    x = 218,317.94

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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.