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Finding the Third Proportional to 92,974 and 190,849

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Solution

The third proportional to 92,974 and 190,849 is: 391,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,974 : 190,849 = 190,849 : x
  2. Step 2: Convert to fraction form
    92,974/190,849 = 190,849/x
  3. Step 3: Cross multiply
    92,974x = 190,849 × 190,849
  4. Step 4: Simplify right side
    92,974x = 36,423,340,801
  5. Step 5: Solve for x
    x = 36,423,340,801/92,974
  6. Step 6: Final answer
    x = 391,758.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.