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Finding the Third Proportional to 39,199 and 92,519

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Solution

The third proportional to 39,199 and 92,519 is: 218,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,199 : 92,519 = 92,519 : x
  2. Step 2: Convert to fraction form
    39,199/92,519 = 92,519/x
  3. Step 3: Cross multiply
    39,199x = 92,519 × 92,519
  4. Step 4: Simplify right side
    39,199x = 8,559,765,361
  5. Step 5: Solve for x
    x = 8,559,765,361/39,199
  6. Step 6: Final answer
    x = 218,366.93

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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.