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Finding the Third Proportional to 92,976 and 190,896

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Solution

The third proportional to 92,976 and 190,896 is: 391,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,976 : 190,896 = 190,896 : x
  2. Step 2: Convert to fraction form
    92,976/190,896 = 190,896/x
  3. Step 3: Cross multiply
    92,976x = 190,896 × 190,896
  4. Step 4: Simplify right side
    92,976x = 36,441,282,816
  5. Step 5: Solve for x
    x = 36,441,282,816/92,976
  6. Step 6: Final answer
    x = 391,942.90

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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.